I have a 1999 dodge ram with 171k miles on it. just recently i noticed the traqnsmission slipping i checked the fluid and it was low. i added the fluid it helped for a little while but then the same thing happened. then i noticed my coolant looked muddy. is it possible my transmission fluid is leaking into the cooling system?

No, it can not since the trans cooler is separate and mounted in front of the radiator.

More likely the filter needs changed and the fluid changed when you change the filter. Also remember that when you check the fluid your car must be in neutral and running and off when adding fluid. The Raz

Yes, it could be leaking into the radiator from transmission cooler in the radiator. I would flush as much of that out as you can and replace the radiator, the anti-freeze is very damaging to your transmission.