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Finding the Third Proportional to 49,227 and 106,689

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Solution

The third proportional to 49,227 and 106,689 is: 231,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,227 : 106,689 = 106,689 : x
  2. Step 2: Convert to fraction form
    49,227/106,689 = 106,689/x
  3. Step 3: Cross multiply
    49,227x = 106,689 × 106,689
  4. Step 4: Simplify right side
    49,227x = 11,382,542,721
  5. Step 5: Solve for x
    x = 11,382,542,721/49,227
  6. Step 6: Final answer
    x = 231,225.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.