I'm going to assume you have a good disk. Scan through the file once and count the number of entries. If you can guarantee your file has no blank lines, then you can just count the number of newlines in it -- don't actually parse each line.
Now you can allocate your array once with exactly that many entries. This avoids excessive re-allocations of the array:
var numEntries = File.ReadLines(filepath).Count();
var result = new Range<int>[numEntries];
Now read the file again and create your range objects with code something like:
var i = 0;
foreach (var line in File.ReadLines(filepath))
{
var parts = line.Split(',');
result[i++] = new Range<int>(long.Parse(parts[0]), long.Parse(parts[1]), int.Parse(parts[2]);
}
return result;
Sprinkle in some error handling as desired. This code is easy to understand. Try it out in your target environment. If it is too slow, then you can start optimizing it. I wouldn't optimize prematurely though because that will lead to much more complex code that might not be needed.