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Finding the Third Proportional to 113,876 and 162,218

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Solution

The third proportional to 113,876 and 162,218 is: 231,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876 : 162,218 = 162,218 : x
  2. Step 2: Convert to fraction form
    113,876/162,218 = 162,218/x
  3. Step 3: Cross multiply
    113,876x = 162,218 × 162,218
  4. Step 4: Simplify right side
    113,876x = 26,314,679,524
  5. Step 5: Solve for x
    x = 26,314,679,524/113,876
  6. Step 6: Final answer
    x = 231,081.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.