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Finding the Third Proportional to 69,287.75 and 149,249.94

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Solution

The third proportional to 69,287.75 and 149,249.94 is: 321,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,287.75 : 149,249.94 = 149,249.94 : x
  2. Step 2: Convert to fraction form
    69,287.75/149,249.94 = 149,249.94/x
  3. Step 3: Cross multiply
    69,287.75x = 149,249.94 × 149,249.94
  4. Step 4: Simplify right side
    69,287.75x = 22,275,543,260.75
  5. Step 5: Solve for x
    x = 22,275,543,260.75/69,287.75
  6. Step 6: Final answer
    x = 321,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.