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Finding the Third Proportional to 33,340 and 71,144

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Solution

The third proportional to 33,340 and 71,144 is: 151,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,340 : 71,144 = 71,144 : x
  2. Step 2: Convert to fraction form
    33,340/71,144 = 71,144/x
  3. Step 3: Cross multiply
    33,340x = 71,144 × 71,144
  4. Step 4: Simplify right side
    33,340x = 5,061,468,736
  5. Step 5: Solve for x
    x = 5,061,468,736/33,340
  6. Step 6: Final answer
    x = 151,813.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.