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Finding the Third Proportional to 48,847 and 106,443

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Solution

The third proportional to 48,847 and 106,443 is: 231,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,847 : 106,443 = 106,443 : x
  2. Step 2: Convert to fraction form
    48,847/106,443 = 106,443/x
  3. Step 3: Cross multiply
    48,847x = 106,443 × 106,443
  4. Step 4: Simplify right side
    48,847x = 11,330,112,249
  5. Step 5: Solve for x
    x = 11,330,112,249/48,847
  6. Step 6: Final answer
    x = 231,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.