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Finding the Third Proportional to 49,972 and 106,418

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Solution

The third proportional to 49,972 and 106,418 is: 226,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,972 : 106,418 = 106,418 : x
  2. Step 2: Convert to fraction form
    49,972/106,418 = 106,418/x
  3. Step 3: Cross multiply
    49,972x = 106,418 × 106,418
  4. Step 4: Simplify right side
    49,972x = 11,324,790,724
  5. Step 5: Solve for x
    x = 11,324,790,724/49,972
  6. Step 6: Final answer
    x = 226,622.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.