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Finding the Third Proportional to 87,939 and 192,510

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Solution

The third proportional to 87,939 and 192,510 is: 421,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,939 : 192,510 = 192,510 : x
  2. Step 2: Convert to fraction form
    87,939/192,510 = 192,510/x
  3. Step 3: Cross multiply
    87,939x = 192,510 × 192,510
  4. Step 4: Simplify right side
    87,939x = 37,060,100,100
  5. Step 5: Solve for x
    x = 37,060,100,100/87,939
  6. Step 6: Final answer
    x = 421,429.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.