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Finding the Third Proportional to 69,194.25 and 149,247.56

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Solution

The third proportional to 69,194.25 and 149,247.56 is: 321,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,194.25 : 149,247.56 = 149,247.56 : x
  2. Step 2: Convert to fraction form
    69,194.25/149,247.56 = 149,247.56/x
  3. Step 3: Cross multiply
    69,194.25x = 149,247.56 × 149,247.56
  4. Step 4: Simplify right side
    69,194.25x = 22,274,834,912.19
  5. Step 5: Solve for x
    x = 22,274,834,912.19/69,194.25
  6. Step 6: Final answer
    x = 321,917.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.