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Finding the Third Proportional to 87,723 and 132,369.19

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Solution

The third proportional to 87,723 and 132,369.19 is: 199,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,723 : 132,369.19 = 132,369.19 : x
  2. Step 2: Convert to fraction form
    87,723/132,369.19 = 132,369.19/x
  3. Step 3: Cross multiply
    87,723x = 132,369.19 × 132,369.19
  4. Step 4: Simplify right side
    87,723x = 17,521,601,799.41
  5. Step 5: Solve for x
    x = 17,521,601,799.41/87,723
  6. Step 6: Final answer
    x = 199,737.83

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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.