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Finding the Third Proportional to 84,169.13 and 129,210.19

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Solution

The third proportional to 84,169.13 and 129,210.19 is: 198,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.13 : 129,210.19 = 129,210.19 : x
  2. Step 2: Convert to fraction form
    84,169.13/129,210.19 = 129,210.19/x
  3. Step 3: Cross multiply
    84,169.13x = 129,210.19 × 129,210.19
  4. Step 4: Simplify right side
    84,169.13x = 16,695,272,553.79
  5. Step 5: Solve for x
    x = 16,695,272,553.79/84,169.13
  6. Step 6: Final answer
    x = 198,353.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.