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Finding the Third Proportional to 33,081 and 68,835

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Solution

The third proportional to 33,081 and 68,835 is: 143,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081 : 68,835 = 68,835 : x
  2. Step 2: Convert to fraction form
    33,081/68,835 = 68,835/x
  3. Step 3: Cross multiply
    33,081x = 68,835 × 68,835
  4. Step 4: Simplify right side
    33,081x = 4,738,257,225
  5. Step 5: Solve for x
    x = 4,738,257,225/33,081
  6. Step 6: Final answer
    x = 143,231.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.