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Finding the Third Proportional to 87,744 and 192,976

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Solution

The third proportional to 87,744 and 192,976 is: 424,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,744 : 192,976 = 192,976 : x
  2. Step 2: Convert to fraction form
    87,744/192,976 = 192,976/x
  3. Step 3: Cross multiply
    87,744x = 192,976 × 192,976
  4. Step 4: Simplify right side
    87,744x = 37,239,736,576
  5. Step 5: Solve for x
    x = 37,239,736,576/87,744
  6. Step 6: Final answer
    x = 424,413.48

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Why These Related Problems?

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