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Finding the Third Proportional to 49,758 and 106,860

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Solution

The third proportional to 49,758 and 106,860 is: 229,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,758 : 106,860 = 106,860 : x
  2. Step 2: Convert to fraction form
    49,758/106,860 = 106,860/x
  3. Step 3: Cross multiply
    49,758x = 106,860 × 106,860
  4. Step 4: Simplify right side
    49,758x = 11,419,059,600
  5. Step 5: Solve for x
    x = 11,419,059,600/49,758
  6. Step 6: Final answer
    x = 229,491.93

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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.