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Finding the Third Proportional to 67,876 and 103,567

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Solution

The third proportional to 67,876 and 103,567 is: 158,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876 : 103,567 = 103,567 : x
  2. Step 2: Convert to fraction form
    67,876/103,567 = 103,567/x
  3. Step 3: Cross multiply
    67,876x = 103,567 × 103,567
  4. Step 4: Simplify right side
    67,876x = 10,726,123,489
  5. Step 5: Solve for x
    x = 10,726,123,489/67,876
  6. Step 6: Final answer
    x = 158,025.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.