You are just talking about the tank cars, right? They weren't in between locomotives. The green/white ones?
Occasionally, I would see them in mountain trains.
I have heard they were used for two reasons:
first, to lessen the need stop for refueling.
secondly, (this is just what I heard) is that obviously fully fueled locomotives will have better traction. In an effort to keep the units fueled and "heavy," they would place these cars in the power lash-up to maintain a fuel level.
I forgot to mention this was before the rise in AC power!
I don't know anything about the air repeater cars.
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