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Finding the Third Proportional to 33,571 and 73,135

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Solution

The third proportional to 33,571 and 73,135 is: 159,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571 : 73,135 = 73,135 : x
  2. Step 2: Convert to fraction form
    33,571/73,135 = 73,135/x
  3. Step 3: Cross multiply
    33,571x = 73,135 × 73,135
  4. Step 4: Simplify right side
    33,571x = 5,348,728,225
  5. Step 5: Solve for x
    x = 5,348,728,225/33,571
  6. Step 6: Final answer
    x = 159,325.85

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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.