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Finding the Third Proportional to 87,843 and 193,179

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Solution

The third proportional to 87,843 and 193,179 is: 424,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,843 : 193,179 = 193,179 : x
  2. Step 2: Convert to fraction form
    87,843/193,179 = 193,179/x
  3. Step 3: Cross multiply
    87,843x = 193,179 × 193,179
  4. Step 4: Simplify right side
    87,843x = 37,318,126,041
  5. Step 5: Solve for x
    x = 37,318,126,041/87,843
  6. Step 6: Final answer
    x = 424,827.55

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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.