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Finding the Third Proportional to 87,726 and 192,944

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Solution

The third proportional to 87,726 and 192,944 is: 424,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,726 : 192,944 = 192,944 : x
  2. Step 2: Convert to fraction form
    87,726/192,944 = 192,944/x
  3. Step 3: Cross multiply
    87,726x = 192,944 × 192,944
  4. Step 4: Simplify right side
    87,726x = 37,227,387,136
  5. Step 5: Solve for x
    x = 37,227,387,136/87,726
  6. Step 6: Final answer
    x = 424,359.79

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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.