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Finding the Third Proportional to 87,216 and 135,016

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Solution

The third proportional to 87,216 and 135,016 is: 209,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,216 : 135,016 = 135,016 : x
  2. Step 2: Convert to fraction form
    87,216/135,016 = 135,016/x
  3. Step 3: Cross multiply
    87,216x = 135,016 × 135,016
  4. Step 4: Simplify right side
    87,216x = 18,229,320,256
  5. Step 5: Solve for x
    x = 18,229,320,256/87,216
  6. Step 6: Final answer
    x = 209,013.49

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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.