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Finding the Third Proportional to 87,777 and 192,267

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Solution

The third proportional to 87,777 and 192,267 is: 421,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,777 : 192,267 = 192,267 : x
  2. Step 2: Convert to fraction form
    87,777/192,267 = 192,267/x
  3. Step 3: Cross multiply
    87,777x = 192,267 × 192,267
  4. Step 4: Simplify right side
    87,777x = 36,966,599,289
  5. Step 5: Solve for x
    x = 36,966,599,289/87,777
  6. Step 6: Final answer
    x = 421,142.20

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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.