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Finding the Third Proportional to 44,003.25 and 85,758.75

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Solution

The third proportional to 44,003.25 and 85,758.75 is: 167,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,003.25 : 85,758.75 = 85,758.75 : x
  2. Step 2: Convert to fraction form
    44,003.25/85,758.75 = 85,758.75/x
  3. Step 3: Cross multiply
    44,003.25x = 85,758.75 × 85,758.75
  4. Step 4: Simplify right side
    44,003.25x = 7,354,563,201.56
  5. Step 5: Solve for x
    x = 7,354,563,201.56/44,003.25
  6. Step 6: Final answer
    x = 167,136.82

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.