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Finding the Third Proportional to 87,508 and 132,064

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Solution

The third proportional to 87,508 and 132,064 is: 199,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,508 : 132,064 = 132,064 : x
  2. Step 2: Convert to fraction form
    87,508/132,064 = 132,064/x
  3. Step 3: Cross multiply
    87,508x = 132,064 × 132,064
  4. Step 4: Simplify right side
    87,508x = 17,440,900,096
  5. Step 5: Solve for x
    x = 17,440,900,096/87,508
  6. Step 6: Final answer
    x = 199,306.35

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Why These Related Problems?

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