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What Would a Texas Snowman Look Like?

In 1999, residents of the state of Maine built the world's largest snowman. He stood 113-feet tall. Then, in 2008, they built the world’s largest snow(wo)man. She stood 122-feet 1-inch tall.

Questions: If propotionality remained true to your standard backyard 3-tier snowman, what would be the relative sizes of the following...

  • Diameters of base, middle, top snowballs
  • Size of carrot for nose?
  • Size of coal for eyes?
  • Length of scarf?
In case you are interested, the picture below is of the snow(wo)man, which supposedly is to represent represented Maine senator woman Olympia Snowe.