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Finding the Third Proportional to 87,888 and 192,432

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Solution

The third proportional to 87,888 and 192,432 is: 421,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,888 : 192,432 = 192,432 : x
  2. Step 2: Convert to fraction form
    87,888/192,432 = 192,432/x
  3. Step 3: Cross multiply
    87,888x = 192,432 × 192,432
  4. Step 4: Simplify right side
    87,888x = 37,030,074,624
  5. Step 5: Solve for x
    x = 37,030,074,624/87,888
  6. Step 6: Final answer
    x = 421,332.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.