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Finding the Third Proportional to 87,016.50 and 138,461

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Solution

The third proportional to 87,016.50 and 138,461 is: 220,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,016.50 : 138,461 = 138,461 : x
  2. Step 2: Convert to fraction form
    87,016.50/138,461 = 138,461/x
  3. Step 3: Cross multiply
    87,016.50x = 138,461 × 138,461
  4. Step 4: Simplify right side
    87,016.50x = 19,171,448,521
  5. Step 5: Solve for x
    x = 19,171,448,521/87,016.50
  6. Step 6: Final answer
    x = 220,319.69

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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.