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Finding the Third Proportional to 47,844.75 and 111,751

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Solution

The third proportional to 47,844.75 and 111,751 is: 261,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,844.75 : 111,751 = 111,751 : x
  2. Step 2: Convert to fraction form
    47,844.75/111,751 = 111,751/x
  3. Step 3: Cross multiply
    47,844.75x = 111,751 × 111,751
  4. Step 4: Simplify right side
    47,844.75x = 12,488,286,001
  5. Step 5: Solve for x
    x = 12,488,286,001/47,844.75
  6. Step 6: Final answer
    x = 261,016.85

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.