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Finding the Third Proportional to 69,531 and 149,544.75

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Solution

The third proportional to 69,531 and 149,544.75 is: 321,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,531 : 149,544.75 = 149,544.75 : x
  2. Step 2: Convert to fraction form
    69,531/149,544.75 = 149,544.75/x
  3. Step 3: Cross multiply
    69,531x = 149,544.75 × 149,544.75
  4. Step 4: Simplify right side
    69,531x = 22,363,632,252.56
  5. Step 5: Solve for x
    x = 22,363,632,252.56/69,531
  6. Step 6: Final answer
    x = 321,635.42

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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.