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Finding the Third Proportional to 51,086 and 107,680

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Solution

The third proportional to 51,086 and 107,680 is: 226,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,086 : 107,680 = 107,680 : x
  2. Step 2: Convert to fraction form
    51,086/107,680 = 107,680/x
  3. Step 3: Cross multiply
    51,086x = 107,680 × 107,680
  4. Step 4: Simplify right side
    51,086x = 11,594,982,400
  5. Step 5: Solve for x
    x = 11,594,982,400/51,086
  6. Step 6: Final answer
    x = 226,969.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.