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Finding the Third Proportional to 87,761.81 and 179,676.56

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Solution

The third proportional to 87,761.81 and 179,676.56 is: 367,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,761.81 : 179,676.56 = 179,676.56 : x
  2. Step 2: Convert to fraction form
    87,761.81/179,676.56 = 179,676.56/x
  3. Step 3: Cross multiply
    87,761.81x = 179,676.56 × 179,676.56
  4. Step 4: Simplify right side
    87,761.81x = 32,283,667,111.82
  5. Step 5: Solve for x
    x = 32,283,667,111.82/87,761.81
  6. Step 6: Final answer
    x = 367,855.52

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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.