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Finding the Third Proportional to 33,255.50 and 68,064.75

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Solution

The third proportional to 33,255.50 and 68,064.75 is: 139,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,255.50 : 68,064.75 = 68,064.75 : x
  2. Step 2: Convert to fraction form
    33,255.50/68,064.75 = 68,064.75/x
  3. Step 3: Cross multiply
    33,255.50x = 68,064.75 × 68,064.75
  4. Step 4: Simplify right side
    33,255.50x = 4,632,810,192.56
  5. Step 5: Solve for x
    x = 4,632,810,192.56/33,255.50
  6. Step 6: Final answer
    x = 139,309.59

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.