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Finding the Third Proportional to 68,589.75 and 103,067.25

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Solution

The third proportional to 68,589.75 and 103,067.25 is: 154,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,589.75 : 103,067.25 = 103,067.25 : x
  2. Step 2: Convert to fraction form
    68,589.75/103,067.25 = 103,067.25/x
  3. Step 3: Cross multiply
    68,589.75x = 103,067.25 × 103,067.25
  4. Step 4: Simplify right side
    68,589.75x = 10,622,858,022.56
  5. Step 5: Solve for x
    x = 10,622,858,022.56/68,589.75
  6. Step 6: Final answer
    x = 154,875.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.