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Finding the Third Proportional to 87,566 and 192,628

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Solution

The third proportional to 87,566 and 192,628 is: 423,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,566 : 192,628 = 192,628 : x
  2. Step 2: Convert to fraction form
    87,566/192,628 = 192,628/x
  3. Step 3: Cross multiply
    87,566x = 192,628 × 192,628
  4. Step 4: Simplify right side
    87,566x = 37,105,546,384
  5. Step 5: Solve for x
    x = 37,105,546,384/87,566
  6. Step 6: Final answer
    x = 423,743.76

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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.