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Finding the Third Proportional to 51,874 and 113,171

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Solution

The third proportional to 51,874 and 113,171 is: 246,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874 : 113,171 = 113,171 : x
  2. Step 2: Convert to fraction form
    51,874/113,171 = 113,171/x
  3. Step 3: Cross multiply
    51,874x = 113,171 × 113,171
  4. Step 4: Simplify right side
    51,874x = 12,807,675,241
  5. Step 5: Solve for x
    x = 12,807,675,241/51,874
  6. Step 6: Final answer
    x = 246,899.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.