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Finding the Third Proportional to 87,902 and 139,758

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Solution

The third proportional to 87,902 and 139,758 is: 222,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,902 : 139,758 = 139,758 : x
  2. Step 2: Convert to fraction form
    87,902/139,758 = 139,758/x
  3. Step 3: Cross multiply
    87,902x = 139,758 × 139,758
  4. Step 4: Simplify right side
    87,902x = 19,532,298,564
  5. Step 5: Solve for x
    x = 19,532,298,564/87,902
  6. Step 6: Final answer
    x = 222,205.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.