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Finding the Third Proportional to 87.38 and 135.47

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Solution

The third proportional to 87.38 and 135.47 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.38 : 135.47 = 135.47 : x
  2. Step 2: Convert to fraction form
    87.38/135.47 = 135.47/x
  3. Step 3: Cross multiply
    87.38x = 135.47 × 135.47
  4. Step 4: Simplify right side
    87.38x = 18,351.78
  5. Step 5: Solve for x
    x = 18,351.78/87.38
  6. Step 6: Final answer
    x = 210.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.