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Finding the Third Proportional to 87,606 and 132,502

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Solution

The third proportional to 87,606 and 132,502 is: 200,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,606 : 132,502 = 132,502 : x
  2. Step 2: Convert to fraction form
    87,606/132,502 = 132,502/x
  3. Step 3: Cross multiply
    87,606x = 132,502 × 132,502
  4. Step 4: Simplify right side
    87,606x = 17,556,780,004
  5. Step 5: Solve for x
    x = 17,556,780,004/87,606
  6. Step 6: Final answer
    x = 200,406.14

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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.