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Finding the Third Proportional to 87,784.59 and 132,951.38

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Solution

The third proportional to 87,784.59 and 132,951.38 is: 201,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,784.59 : 132,951.38 = 132,951.38 : x
  2. Step 2: Convert to fraction form
    87,784.59/132,951.38 = 132,951.38/x
  3. Step 3: Cross multiply
    87,784.59x = 132,951.38 × 132,951.38
  4. Step 4: Simplify right side
    87,784.59x = 17,676,068,114.39
  5. Step 5: Solve for x
    x = 17,676,068,114.39/87,784.59
  6. Step 6: Final answer
    x = 201,357.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.