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Finding the Third Proportional to 49,016 and 106,330

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Solution

The third proportional to 49,016 and 106,330 is: 230,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,016 : 106,330 = 106,330 : x
  2. Step 2: Convert to fraction form
    49,016/106,330 = 106,330/x
  3. Step 3: Cross multiply
    49,016x = 106,330 × 106,330
  4. Step 4: Simplify right side
    49,016x = 11,306,068,900
  5. Step 5: Solve for x
    x = 11,306,068,900/49,016
  6. Step 6: Final answer
    x = 230,660.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.