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Finding the Third Proportional to 51,682 and 111,626

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Solution

The third proportional to 51,682 and 111,626 is: 241,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,682 : 111,626 = 111,626 : x
  2. Step 2: Convert to fraction form
    51,682/111,626 = 111,626/x
  3. Step 3: Cross multiply
    51,682x = 111,626 × 111,626
  4. Step 4: Simplify right side
    51,682x = 12,460,363,876
  5. Step 5: Solve for x
    x = 12,460,363,876/51,682
  6. Step 6: Final answer
    x = 241,096.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.