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Finding the Third Proportional to 49,867 and 106,739

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Solution

The third proportional to 49,867 and 106,739 is: 228,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,867 : 106,739 = 106,739 : x
  2. Step 2: Convert to fraction form
    49,867/106,739 = 106,739/x
  3. Step 3: Cross multiply
    49,867x = 106,739 × 106,739
  4. Step 4: Simplify right side
    49,867x = 11,393,214,121
  5. Step 5: Solve for x
    x = 11,393,214,121/49,867
  6. Step 6: Final answer
    x = 228,472.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.