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Finding the Third Proportional to 67,882 and 149,147

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Solution

The third proportional to 67,882 and 149,147 is: 327,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882 : 149,147 = 149,147 : x
  2. Step 2: Convert to fraction form
    67,882/149,147 = 149,147/x
  3. Step 3: Cross multiply
    67,882x = 149,147 × 149,147
  4. Step 4: Simplify right side
    67,882x = 22,244,827,609
  5. Step 5: Solve for x
    x = 22,244,827,609/67,882
  6. Step 6: Final answer
    x = 327,698.47

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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.