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Finding the Third Proportional to 69,474 and 149,480

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Solution

The third proportional to 69,474 and 149,480 is: 321,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474 : 149,480 = 149,480 : x
  2. Step 2: Convert to fraction form
    69,474/149,480 = 149,480/x
  3. Step 3: Cross multiply
    69,474x = 149,480 × 149,480
  4. Step 4: Simplify right side
    69,474x = 22,344,270,400
  5. Step 5: Solve for x
    x = 22,344,270,400/69,474
  6. Step 6: Final answer
    x = 321,620.61

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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.