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Finding the Third Proportional to 81,416.81 and 129,229.31

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Solution

The third proportional to 81,416.81 and 129,229.31 is: 205,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,416.81 : 129,229.31 = 129,229.31 : x
  2. Step 2: Convert to fraction form
    81,416.81/129,229.31 = 129,229.31/x
  3. Step 3: Cross multiply
    81,416.81x = 129,229.31 × 129,229.31
  4. Step 4: Simplify right side
    81,416.81x = 16,700,215,209.22
  5. Step 5: Solve for x
    x = 16,700,215,209.22/81,416.81
  6. Step 6: Final answer
    x = 205,119.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.