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Finding the Third Proportional to 43,773.75 and 85,359.75

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Solution

The third proportional to 43,773.75 and 85,359.75 is: 166,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,773.75 : 85,359.75 = 85,359.75 : x
  2. Step 2: Convert to fraction form
    43,773.75/85,359.75 = 85,359.75/x
  3. Step 3: Cross multiply
    43,773.75x = 85,359.75 × 85,359.75
  4. Step 4: Simplify right side
    43,773.75x = 7,286,286,920.06
  5. Step 5: Solve for x
    x = 7,286,286,920.06/43,773.75
  6. Step 6: Final answer
    x = 166,453.34

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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.