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Finding the Third Proportional to 51,847 and 113,738

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Solution

The third proportional to 51,847 and 113,738 is: 249,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847 : 113,738 = 113,738 : x
  2. Step 2: Convert to fraction form
    51,847/113,738 = 113,738/x
  3. Step 3: Cross multiply
    51,847x = 113,738 × 113,738
  4. Step 4: Simplify right side
    51,847x = 12,936,332,644
  5. Step 5: Solve for x
    x = 12,936,332,644/51,847
  6. Step 6: Final answer
    x = 249,509.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.