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Finding the Third Proportional to 87,698 and 192,892

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Solution

The third proportional to 87,698 and 192,892 is: 424,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,698 : 192,892 = 192,892 : x
  2. Step 2: Convert to fraction form
    87,698/192,892 = 192,892/x
  3. Step 3: Cross multiply
    87,698x = 192,892 × 192,892
  4. Step 4: Simplify right side
    87,698x = 37,207,323,664
  5. Step 5: Solve for x
    x = 37,207,323,664/87,698
  6. Step 6: Final answer
    x = 424,266.50

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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.