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Finding the Third Proportional to 87,885 and 181,998

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Solution

The third proportional to 87,885 and 181,998 is: 376,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,885 : 181,998 = 181,998 : x
  2. Step 2: Convert to fraction form
    87,885/181,998 = 181,998/x
  3. Step 3: Cross multiply
    87,885x = 181,998 × 181,998
  4. Step 4: Simplify right side
    87,885x = 33,123,272,004
  5. Step 5: Solve for x
    x = 33,123,272,004/87,885
  6. Step 6: Final answer
    x = 376,893.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.