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Finding the Third Proportional to 87,912 and 137,808

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Solution

The third proportional to 87,912 and 137,808 is: 216,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,912 : 137,808 = 137,808 : x
  2. Step 2: Convert to fraction form
    87,912/137,808 = 137,808/x
  3. Step 3: Cross multiply
    87,912x = 137,808 × 137,808
  4. Step 4: Simplify right side
    87,912x = 18,991,044,864
  5. Step 5: Solve for x
    x = 18,991,044,864/87,912
  6. Step 6: Final answer
    x = 216,023.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.