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Finding the Third Proportional to 86,562.38 and 129,498.56

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Solution

The third proportional to 86,562.38 and 129,498.56 is: 193,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,562.38 : 129,498.56 = 129,498.56 : x
  2. Step 2: Convert to fraction form
    86,562.38/129,498.56 = 129,498.56/x
  3. Step 3: Cross multiply
    86,562.38x = 129,498.56 × 129,498.56
  4. Step 4: Simplify right side
    86,562.38x = 16,769,877,689.57
  5. Step 5: Solve for x
    x = 16,769,877,689.57/86,562.38
  6. Step 6: Final answer
    x = 193,731.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.