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Finding the Third Proportional to 80,651 and 112,809

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Solution

The third proportional to 80,651 and 112,809 is: 157,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,651 : 112,809 = 112,809 : x
  2. Step 2: Convert to fraction form
    80,651/112,809 = 112,809/x
  3. Step 3: Cross multiply
    80,651x = 112,809 × 112,809
  4. Step 4: Simplify right side
    80,651x = 12,725,870,481
  5. Step 5: Solve for x
    x = 12,725,870,481/80,651
  6. Step 6: Final answer
    x = 157,789.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.