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Finding the Third Proportional to 50,907 and 111,853

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Solution

The third proportional to 50,907 and 111,853 is: 245,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907 : 111,853 = 111,853 : x
  2. Step 2: Convert to fraction form
    50,907/111,853 = 111,853/x
  3. Step 3: Cross multiply
    50,907x = 111,853 × 111,853
  4. Step 4: Simplify right side
    50,907x = 12,511,093,609
  5. Step 5: Solve for x
    x = 12,511,093,609/50,907
  6. Step 6: Final answer
    x = 245,763.72

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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.