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Finding the Third Proportional to 87,772 and 192,270

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Solution

The third proportional to 87,772 and 192,270 is: 421,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,772 : 192,270 = 192,270 : x
  2. Step 2: Convert to fraction form
    87,772/192,270 = 192,270/x
  3. Step 3: Cross multiply
    87,772x = 192,270 × 192,270
  4. Step 4: Simplify right side
    87,772x = 36,967,752,900
  5. Step 5: Solve for x
    x = 36,967,752,900/87,772
  6. Step 6: Final answer
    x = 421,179.34

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