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Finding the Third Proportional to 80,714 and 110,795

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Solution

The third proportional to 80,714 and 110,795 is: 152,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714 : 110,795 = 110,795 : x
  2. Step 2: Convert to fraction form
    80,714/110,795 = 110,795/x
  3. Step 3: Cross multiply
    80,714x = 110,795 × 110,795
  4. Step 4: Simplify right side
    80,714x = 12,275,532,025
  5. Step 5: Solve for x
    x = 12,275,532,025/80,714
  6. Step 6: Final answer
    x = 152,086.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.