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Finding the Third Proportional to 51,126 and 108,876

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Solution

The third proportional to 51,126 and 108,876 is: 231,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,126 : 108,876 = 108,876 : x
  2. Step 2: Convert to fraction form
    51,126/108,876 = 108,876/x
  3. Step 3: Cross multiply
    51,126x = 108,876 × 108,876
  4. Step 4: Simplify right side
    51,126x = 11,853,983,376
  5. Step 5: Solve for x
    x = 11,853,983,376/51,126
  6. Step 6: Final answer
    x = 231,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.