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Finding the Third Proportional to 87,518 and 192,055

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Solution

The third proportional to 87,518 and 192,055 is: 421,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,518 : 192,055 = 192,055 : x
  2. Step 2: Convert to fraction form
    87,518/192,055 = 192,055/x
  3. Step 3: Cross multiply
    87,518x = 192,055 × 192,055
  4. Step 4: Simplify right side
    87,518x = 36,885,123,025
  5. Step 5: Solve for x
    x = 36,885,123,025/87,518
  6. Step 6: Final answer
    x = 421,457.56

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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.