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Finding the Third Proportional to 33,102 and 72,198

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Solution

The third proportional to 33,102 and 72,198 is: 157,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102 : 72,198 = 72,198 : x
  2. Step 2: Convert to fraction form
    33,102/72,198 = 72,198/x
  3. Step 3: Cross multiply
    33,102x = 72,198 × 72,198
  4. Step 4: Simplify right side
    33,102x = 5,212,551,204
  5. Step 5: Solve for x
    x = 5,212,551,204/33,102
  6. Step 6: Final answer
    x = 157,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.