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Finding the Third Proportional to 87,783 and 171,186

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Solution

The third proportional to 87,783 and 171,186 is: 333,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,783 : 171,186 = 171,186 : x
  2. Step 2: Convert to fraction form
    87,783/171,186 = 171,186/x
  3. Step 3: Cross multiply
    87,783x = 171,186 × 171,186
  4. Step 4: Simplify right side
    87,783x = 29,304,646,596
  5. Step 5: Solve for x
    x = 29,304,646,596/87,783
  6. Step 6: Final answer
    x = 333,830.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.