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Finding the Third Proportional to 75,709.13 and 166,343.88

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Solution

The third proportional to 75,709.13 and 166,343.88 is: 365,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.13 : 166,343.88 = 166,343.88 : x
  2. Step 2: Convert to fraction form
    75,709.13/166,343.88 = 166,343.88/x
  3. Step 3: Cross multiply
    75,709.13x = 166,343.88 × 166,343.88
  4. Step 4: Simplify right side
    75,709.13x = 27,670,284,750.02
  5. Step 5: Solve for x
    x = 27,670,284,750.02/75,709.13
  6. Step 6: Final answer
    x = 365,481.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.