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Finding the Third Proportional to 115,489.50 and 171,546.75

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Solution

The third proportional to 115,489.50 and 171,546.75 is: 254,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,489.50 : 171,546.75 = 171,546.75 : x
  2. Step 2: Convert to fraction form
    115,489.50/171,546.75 = 171,546.75/x
  3. Step 3: Cross multiply
    115,489.50x = 171,546.75 × 171,546.75
  4. Step 4: Simplify right side
    115,489.50x = 29,428,287,435.56
  5. Step 5: Solve for x
    x = 29,428,287,435.56/115,489.50
  6. Step 6: Final answer
    x = 254,813.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.