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Finding the Third Proportional to 87,531 and 132,096

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Solution

The third proportional to 87,531 and 132,096 is: 199,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,531 : 132,096 = 132,096 : x
  2. Step 2: Convert to fraction form
    87,531/132,096 = 132,096/x
  3. Step 3: Cross multiply
    87,531x = 132,096 × 132,096
  4. Step 4: Simplify right side
    87,531x = 17,449,353,216
  5. Step 5: Solve for x
    x = 17,449,353,216/87,531
  6. Step 6: Final answer
    x = 199,350.55

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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.