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Finding the Third Proportional to 87,728 and 192,948

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Solution

The third proportional to 87,728 and 192,948 is: 424,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,728 : 192,948 = 192,948 : x
  2. Step 2: Convert to fraction form
    87,728/192,948 = 192,948/x
  3. Step 3: Cross multiply
    87,728x = 192,948 × 192,948
  4. Step 4: Simplify right side
    87,728x = 37,228,930,704
  5. Step 5: Solve for x
    x = 37,228,930,704/87,728
  6. Step 6: Final answer
    x = 424,367.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.