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Finding the Third Proportional to 50,917 and 111,871

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Solution

The third proportional to 50,917 and 111,871 is: 245,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,917 : 111,871 = 111,871 : x
  2. Step 2: Convert to fraction form
    50,917/111,871 = 111,871/x
  3. Step 3: Cross multiply
    50,917x = 111,871 × 111,871
  4. Step 4: Simplify right side
    50,917x = 12,515,120,641
  5. Step 5: Solve for x
    x = 12,515,120,641/50,917
  6. Step 6: Final answer
    x = 245,794.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.