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Finding the Third Proportional to 51,876 and 113,912

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Solution

The third proportional to 51,876 and 113,912 is: 250,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 113,912 = 113,912 : x
  2. Step 2: Convert to fraction form
    51,876/113,912 = 113,912/x
  3. Step 3: Cross multiply
    51,876x = 113,912 × 113,912
  4. Step 4: Simplify right side
    51,876x = 12,975,943,744
  5. Step 5: Solve for x
    x = 12,975,943,744/51,876
  6. Step 6: Final answer
    x = 250,133.85

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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.