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Finding the Third Proportional to 52,003.75 and 111,787.25

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Solution

The third proportional to 52,003.75 and 111,787.25 is: 240,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.75 : 111,787.25 = 111,787.25 : x
  2. Step 2: Convert to fraction form
    52,003.75/111,787.25 = 111,787.25/x
  3. Step 3: Cross multiply
    52,003.75x = 111,787.25 × 111,787.25
  4. Step 4: Simplify right side
    52,003.75x = 12,496,389,262.56
  5. Step 5: Solve for x
    x = 12,496,389,262.56/52,003.75
  6. Step 6: Final answer
    x = 240,297.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.