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Finding the Third Proportional to 69,470.50 and 149,474

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Solution

The third proportional to 69,470.50 and 149,474 is: 321,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,470.50 : 149,474 = 149,474 : x
  2. Step 2: Convert to fraction form
    69,470.50/149,474 = 149,474/x
  3. Step 3: Cross multiply
    69,470.50x = 149,474 × 149,474
  4. Step 4: Simplify right side
    69,470.50x = 22,342,476,676
  5. Step 5: Solve for x
    x = 22,342,476,676/69,470.50
  6. Step 6: Final answer
    x = 321,611.00

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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.