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Finding the Third Proportional to 73,825.31 and 161,182.69

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Solution

The third proportional to 73,825.31 and 161,182.69 is: 351,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,825.31 : 161,182.69 = 161,182.69 : x
  2. Step 2: Convert to fraction form
    73,825.31/161,182.69 = 161,182.69/x
  3. Step 3: Cross multiply
    73,825.31x = 161,182.69 × 161,182.69
  4. Step 4: Simplify right side
    73,825.31x = 25,979,858,749.72
  5. Step 5: Solve for x
    x = 25,979,858,749.72/73,825.31
  6. Step 6: Final answer
    x = 351,909.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.