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Finding the Third Proportional to 87,786 and 132,443

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Solution

The third proportional to 87,786 and 132,443 is: 199,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,786 : 132,443 = 132,443 : x
  2. Step 2: Convert to fraction form
    87,786/132,443 = 132,443/x
  3. Step 3: Cross multiply
    87,786x = 132,443 × 132,443
  4. Step 4: Simplify right side
    87,786x = 17,541,148,249
  5. Step 5: Solve for x
    x = 17,541,148,249/87,786
  6. Step 6: Final answer
    x = 199,817.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.