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Finding the Third Proportional to 87,221 and 138,338

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Solution

The third proportional to 87,221 and 138,338 is: 219,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,221 : 138,338 = 138,338 : x
  2. Step 2: Convert to fraction form
    87,221/138,338 = 138,338/x
  3. Step 3: Cross multiply
    87,221x = 138,338 × 138,338
  4. Step 4: Simplify right side
    87,221x = 19,137,402,244
  5. Step 5: Solve for x
    x = 19,137,402,244/87,221
  6. Step 6: Final answer
    x = 219,412.78

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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.