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Finding the Third Proportional to 33,249 and 72,149

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Solution

The third proportional to 33,249 and 72,149 is: 156,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249 : 72,149 = 72,149 : x
  2. Step 2: Convert to fraction form
    33,249/72,149 = 72,149/x
  3. Step 3: Cross multiply
    33,249x = 72,149 × 72,149
  4. Step 4: Simplify right side
    33,249x = 5,205,478,201
  5. Step 5: Solve for x
    x = 5,205,478,201/33,249
  6. Step 6: Final answer
    x = 156,560.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.