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Finding the Third Proportional to 82,125.56 and 177,067.69

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Solution

The third proportional to 82,125.56 and 177,067.69 is: 381,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125.56 : 177,067.69 = 177,067.69 : x
  2. Step 2: Convert to fraction form
    82,125.56/177,067.69 = 177,067.69/x
  3. Step 3: Cross multiply
    82,125.56x = 177,067.69 × 177,067.69
  4. Step 4: Simplify right side
    82,125.56x = 31,352,965,956.60
  5. Step 5: Solve for x
    x = 31,352,965,956.60/82,125.56
  6. Step 6: Final answer
    x = 381,768.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.