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Finding the Third Proportional to 50,681 and 107,923

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Solution

The third proportional to 50,681 and 107,923 is: 229,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,681 : 107,923 = 107,923 : x
  2. Step 2: Convert to fraction form
    50,681/107,923 = 107,923/x
  3. Step 3: Cross multiply
    50,681x = 107,923 × 107,923
  4. Step 4: Simplify right side
    50,681x = 11,647,373,929
  5. Step 5: Solve for x
    x = 11,647,373,929/50,681
  6. Step 6: Final answer
    x = 229,817.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.