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Finding the Third Proportional to 51,668 and 111,600

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Solution

The third proportional to 51,668 and 111,600 is: 241,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,668 : 111,600 = 111,600 : x
  2. Step 2: Convert to fraction form
    51,668/111,600 = 111,600/x
  3. Step 3: Cross multiply
    51,668x = 111,600 × 111,600
  4. Step 4: Simplify right side
    51,668x = 12,454,560,000
  5. Step 5: Solve for x
    x = 12,454,560,000/51,668
  6. Step 6: Final answer
    x = 241,049.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.