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Finding the Third Proportional to 87,998 and 186,902

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Solution

The third proportional to 87,998 and 186,902 is: 396,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,998 : 186,902 = 186,902 : x
  2. Step 2: Convert to fraction form
    87,998/186,902 = 186,902/x
  3. Step 3: Cross multiply
    87,998x = 186,902 × 186,902
  4. Step 4: Simplify right side
    87,998x = 34,932,357,604
  5. Step 5: Solve for x
    x = 34,932,357,604/87,998
  6. Step 6: Final answer
    x = 396,967.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.