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Finding the Third Proportional to 43,906.88 and 68,112.56

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Solution

The third proportional to 43,906.88 and 68,112.56 is: 105,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,906.88 : 68,112.56 = 68,112.56 : x
  2. Step 2: Convert to fraction form
    43,906.88/68,112.56 = 68,112.56/x
  3. Step 3: Cross multiply
    43,906.88x = 68,112.56 × 68,112.56
  4. Step 4: Simplify right side
    43,906.88x = 4,639,321,170.32
  5. Step 5: Solve for x
    x = 4,639,321,170.32/43,906.88
  6. Step 6: Final answer
    x = 105,662.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.