F8TH :
But does an i3 prossesor work with the ASUS GeForce GTX 1050 Ti 4GB Expedition
It seriously helps if you can be specific when talking about computers. There are a great number of generations of graphic and central processing units. 7 i3 generations and multiple i3's within a generation. It akin to asking is my Ford(barring acronyms) going to be fast enough.
https://www.piriform.com/speccy can show you what you have. A simple copy and paste of the summary page is quick and easy.
We also don't know if the GFX card will have enough to eat. We can assume it will but(see below)...Offering the PSU complete make and model number helps.
No way to answer without assuming or guessing which helps nobody.
Yes, they are compatible with each other. it depends more on your motherboard where compatibility is concerned. I look to the CPU to determine balance.