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Finding the Third Proportional to 49,676 and 106,976

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Solution

The third proportional to 49,676 and 106,976 is: 230,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676 : 106,976 = 106,976 : x
  2. Step 2: Convert to fraction form
    49,676/106,976 = 106,976/x
  3. Step 3: Cross multiply
    49,676x = 106,976 × 106,976
  4. Step 4: Simplify right side
    49,676x = 11,443,864,576
  5. Step 5: Solve for x
    x = 11,443,864,576/49,676
  6. Step 6: Final answer
    x = 230,370.09

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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.