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Finding the Third Proportional to 49,806 and 107,568

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Solution

The third proportional to 49,806 and 107,568 is: 232,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806 : 107,568 = 107,568 : x
  2. Step 2: Convert to fraction form
    49,806/107,568 = 107,568/x
  3. Step 3: Cross multiply
    49,806x = 107,568 × 107,568
  4. Step 4: Simplify right side
    49,806x = 11,570,874,624
  5. Step 5: Solve for x
    x = 11,570,874,624/49,806
  6. Step 6: Final answer
    x = 232,318.89

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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.