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Finding the Third Proportional to 71,876 and 167,882

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Solution

The third proportional to 71,876 and 167,882 is: 392,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876 : 167,882 = 167,882 : x
  2. Step 2: Convert to fraction form
    71,876/167,882 = 167,882/x
  3. Step 3: Cross multiply
    71,876x = 167,882 × 167,882
  4. Step 4: Simplify right side
    71,876x = 28,184,365,924
  5. Step 5: Solve for x
    x = 28,184,365,924/71,876
  6. Step 6: Final answer
    x = 392,124.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.