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Finding the Third Proportional to 87,914 and 192,595

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Solution

The third proportional to 87,914 and 192,595 is: 421,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,914 : 192,595 = 192,595 : x
  2. Step 2: Convert to fraction form
    87,914/192,595 = 192,595/x
  3. Step 3: Cross multiply
    87,914x = 192,595 × 192,595
  4. Step 4: Simplify right side
    87,914x = 37,092,834,025
  5. Step 5: Solve for x
    x = 37,092,834,025/87,914
  6. Step 6: Final answer
    x = 421,921.81

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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.