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Finding the Third Proportional to 49,914 and 107,822

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Solution

The third proportional to 49,914 and 107,822 is: 232,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914 : 107,822 = 107,822 : x
  2. Step 2: Convert to fraction form
    49,914/107,822 = 107,822/x
  3. Step 3: Cross multiply
    49,914x = 107,822 × 107,822
  4. Step 4: Simplify right side
    49,914x = 11,625,583,684
  5. Step 5: Solve for x
    x = 11,625,583,684/49,914
  6. Step 6: Final answer
    x = 232,912.28

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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.