300 E and 300 TE have same transmissions?

[Ron in SC]

I want to put an engine and transmission from my 92 300E into my 92 300TE wagon.

The first 13 numbers on the transmissions are the same. They are 124 270 96 00 722.

The other numbers are as follows:
3580 3572095
3580 3564739
Are these numbers the serial numbers for each transmission?

So are the two transmissions the same?

Edited

I think the last 7 numbers on each transmission are the serial numbers.