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Finding the Third Proportional to 80,731.05 and 174,379.08

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Solution

The third proportional to 80,731.05 and 174,379.08 is: 376,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,731.05 : 174,379.08 = 174,379.08 : x
  2. Step 2: Convert to fraction form
    80,731.05/174,379.08 = 174,379.08/x
  3. Step 3: Cross multiply
    80,731.05x = 174,379.08 × 174,379.08
  4. Step 4: Simplify right side
    80,731.05x = 30,408,062,887.72
  5. Step 5: Solve for x
    x = 30,408,062,887.72/80,731.05
  6. Step 6: Final answer
    x = 376,658.81

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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.