8 3/4 is this correct

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You must not understand how a green bearing works as compared to the OEM bearing. The green bearing is a fixed bearing, whereas you adjust the end play for the OEM due to the fact that they are tapered. You must adjust the end play on them.
Doesn't matter what your axle lengths are on an 8 3/4 if you're running OEM bearings you have an adjuster on the passenger side to set the end play be it an a body, b-body, C body or e body.
And the last thing you need is the end of the axle tube to be cocked or crooked if you've got that you got a problem.

Ok turbo, slow down. I know exactly how green bearing work, which is why I don't run them. I run OE style, tapered bearings with adjusters on all of my cars and have adjusted end play on all of them. I am plenty aware of what can and can't be done with the adjusters.

The axle housing in question is an ORIGINAL A-body 8 3/4. There's nothing to indicate it was anything other than a factory axle, and nothing else from the factory is even close to the A-body width. Which means, it's an A-body axle. You have to realize then that means it came from the factory with tapered bearings and adjusters right? And that it worked just fine for decades with that set up before you decided it wouldn't work with tapered bearings?

The axle length was measured with a tape measure, which is a heck of a lot less accurate than the jigs the factory used. It's just a factory axle that's more than likely well within the factory tolerances.