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Finding the Third Proportional to 49,493 and 106,645

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Solution

The third proportional to 49,493 and 106,645 is: 229,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493 : 106,645 = 106,645 : x
  2. Step 2: Convert to fraction form
    49,493/106,645 = 106,645/x
  3. Step 3: Cross multiply
    49,493x = 106,645 × 106,645
  4. Step 4: Simplify right side
    49,493x = 11,373,156,025
  5. Step 5: Solve for x
    x = 11,373,156,025/49,493
  6. Step 6: Final answer
    x = 229,793.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.