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Finding the Third Proportional to 51,747 and 110,874

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Solution

The third proportional to 51,747 and 110,874 is: 237,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,747 : 110,874 = 110,874 : x
  2. Step 2: Convert to fraction form
    51,747/110,874 = 110,874/x
  3. Step 3: Cross multiply
    51,747x = 110,874 × 110,874
  4. Step 4: Simplify right side
    51,747x = 12,293,043,876
  5. Step 5: Solve for x
    x = 12,293,043,876/51,747
  6. Step 6: Final answer
    x = 237,560.51

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Why These Related Problems?

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