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Finding the Third Proportional to 47,674 and 110,845

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Solution

The third proportional to 47,674 and 110,845 is: 257,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674 : 110,845 = 110,845 : x
  2. Step 2: Convert to fraction form
    47,674/110,845 = 110,845/x
  3. Step 3: Cross multiply
    47,674x = 110,845 × 110,845
  4. Step 4: Simplify right side
    47,674x = 12,286,614,025
  5. Step 5: Solve for x
    x = 12,286,614,025/47,674
  6. Step 6: Final answer
    x = 257,721.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.