I've just tried installing transmission from the repositores and it's currently sitting on version 0.72. the latest version is 0.93 though so how do we go about installing it?
First things first, type this:

apt-get build-dep transmission

This will ensure the system has all the required parts to compile transmission. It's quite a few files.
Now you need to get the latest transmission file:

wget http://download.m0k.org/transmission/fi ... 93.tar.bz2

Now we need to get those files out:

tar -xvf transmission-0.93.tar.bz2

Now to get compiling! Type this:

cd transmission-0.93
./configure -q && make -s
sudo make install

Transmission is now installed! What I would do now is remove both the downloaded and expanded files. Job done!