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Finding the Third Proportional to 87,590 and 192,676

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Solution

The third proportional to 87,590 and 192,676 is: 423,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,590 : 192,676 = 192,676 : x
  2. Step 2: Convert to fraction form
    87,590/192,676 = 192,676/x
  3. Step 3: Cross multiply
    87,590x = 192,676 × 192,676
  4. Step 4: Simplify right side
    87,590x = 37,124,040,976
  5. Step 5: Solve for x
    x = 37,124,040,976/87,590
  6. Step 6: Final answer
    x = 423,838.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.