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Finding the Third Proportional to 87,599 and 192,154

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Solution

The third proportional to 87,599 and 192,154 is: 421,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,599 : 192,154 = 192,154 : x
  2. Step 2: Convert to fraction form
    87,599/192,154 = 192,154/x
  3. Step 3: Cross multiply
    87,599x = 192,154 × 192,154
  4. Step 4: Simplify right side
    87,599x = 36,923,159,716
  5. Step 5: Solve for x
    x = 36,923,159,716/87,599
  6. Step 6: Final answer
    x = 421,502.07

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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.