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Finding the Third Proportional to 80,177.50 and 173,067

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Solution

The third proportional to 80,177.50 and 173,067 is: 373,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,177.50 : 173,067 = 173,067 : x
  2. Step 2: Convert to fraction form
    80,177.50/173,067 = 173,067/x
  3. Step 3: Cross multiply
    80,177.50x = 173,067 × 173,067
  4. Step 4: Simplify right side
    80,177.50x = 29,952,186,489
  5. Step 5: Solve for x
    x = 29,952,186,489/80,177.50
  6. Step 6: Final answer
    x = 373,573.46

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Why These Related Problems?

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