Corrosion can lead to leaky radiators, with a build up of sludge from within the component essentially leading them to rot from the inside out. These types of leaks are frequently referred to as pinhole leaks.
Unfortunately, there is no certified fix for a leaky radiator caused by corrosion. However, some temporary measures can be taken, as detailed in our blog, How To Fix A Leaky Radiator.
By following the instructions there, you can discover an interim solution before the addition of a new home radiator.