Here is what came out when I put the DNA of Ramesses III and his son into a popaffiliator program. It requires 9 loci and I had only 8 to work with. Therefore in the case of Ramesses III, I added D3S1358, putting in the highest number for the modern Egyptian population, 15, for the father and the arbitrary high Greek one of 16 for the mother. I did this because, at D7S820, the mother of Ramesses III has 15, which is not even on the chart for modern Egyptians. Here is the result:
You'll have to click on the image to read it. Next comes "Unknown Man E". For his 9th locus, I added a different one, D851179. For his father, I put the highest number at that marker in the Egyptian population, which is 14. For the mother, I put in an only slightly lower one of 12. I added nothing foreign, that I know of, to the DNA of "Unknown Man E", yet his "Eurasian" quotient rises from that of Ramesses III. Caveat, I do not know how accurate this popaffiliator is.
It can be found here, if anyone wants to enter his own DNA to test it out.