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Finding the Third Proportional to 69,074.44 and 103,185.56

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Solution

The third proportional to 69,074.44 and 103,185.56 is: 154,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074.44 : 103,185.56 = 103,185.56 : x
  2. Step 2: Convert to fraction form
    69,074.44/103,185.56 = 103,185.56/x
  3. Step 3: Cross multiply
    69,074.44x = 103,185.56 × 103,185.56
  4. Step 4: Simplify right side
    69,074.44x = 10,647,260,308.44
  5. Step 5: Solve for x
    x = 10,647,260,308.44/69,074.44
  6. Step 6: Final answer
    x = 154,141.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.