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Finding the Third Proportional to 87,554 and 192,123

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Solution

The third proportional to 87,554 and 192,123 is: 421,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,554 : 192,123 = 192,123 : x
  2. Step 2: Convert to fraction form
    87,554/192,123 = 192,123/x
  3. Step 3: Cross multiply
    87,554x = 192,123 × 192,123
  4. Step 4: Simplify right side
    87,554x = 36,911,247,129
  5. Step 5: Solve for x
    x = 36,911,247,129/87,554
  6. Step 6: Final answer
    x = 421,582.65

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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.