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Finding the Third Proportional to 31,751 and 67,876

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Solution

The third proportional to 31,751 and 67,876 is: 145,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751 : 67,876 = 67,876 : x
  2. Step 2: Convert to fraction form
    31,751/67,876 = 67,876/x
  3. Step 3: Cross multiply
    31,751x = 67,876 × 67,876
  4. Step 4: Simplify right side
    31,751x = 4,607,151,376
  5. Step 5: Solve for x
    x = 4,607,151,376/31,751
  6. Step 6: Final answer
    x = 145,102.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.