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Finding the Third Proportional to 81,085.50 and 166,173.75

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Solution

The third proportional to 81,085.50 and 166,173.75 is: 340,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,085.50 : 166,173.75 = 166,173.75 : x
  2. Step 2: Convert to fraction form
    81,085.50/166,173.75 = 166,173.75/x
  3. Step 3: Cross multiply
    81,085.50x = 166,173.75 × 166,173.75
  4. Step 4: Simplify right side
    81,085.50x = 27,613,715,189.06
  5. Step 5: Solve for x
    x = 27,613,715,189.06/81,085.50
  6. Step 6: Final answer
    x = 340,550.59

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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.