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Finding the Third Proportional to 81,610.50 and 179,259

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Solution

The third proportional to 81,610.50 and 179,259 is: 393,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610.50 : 179,259 = 179,259 : x
  2. Step 2: Convert to fraction form
    81,610.50/179,259 = 179,259/x
  3. Step 3: Cross multiply
    81,610.50x = 179,259 × 179,259
  4. Step 4: Simplify right side
    81,610.50x = 32,133,789,081
  5. Step 5: Solve for x
    x = 32,133,789,081/81,610.50
  6. Step 6: Final answer
    x = 393,745.77

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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.