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Finding the Third Proportional to 87,727 and 192,946

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Solution

The third proportional to 87,727 and 192,946 is: 424,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,727 : 192,946 = 192,946 : x
  2. Step 2: Convert to fraction form
    87,727/192,946 = 192,946/x
  3. Step 3: Cross multiply
    87,727x = 192,946 × 192,946
  4. Step 4: Simplify right side
    87,727x = 37,228,158,916
  5. Step 5: Solve for x
    x = 37,228,158,916/87,727
  6. Step 6: Final answer
    x = 424,363.75

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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.