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Finding the Third Proportional to 44,180.75 and 68,257.75

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Solution

The third proportional to 44,180.75 and 68,257.75 is: 105,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,180.75 : 68,257.75 = 68,257.75 : x
  2. Step 2: Convert to fraction form
    44,180.75/68,257.75 = 68,257.75/x
  3. Step 3: Cross multiply
    44,180.75x = 68,257.75 × 68,257.75
  4. Step 4: Simplify right side
    44,180.75x = 4,659,120,435.06
  5. Step 5: Solve for x
    x = 4,659,120,435.06/44,180.75
  6. Step 6: Final answer
    x = 105,455.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.