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Finding the Third Proportional to 80,149.50 and 172,089.56

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Solution

The third proportional to 80,149.50 and 172,089.56 is: 369,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,149.50 : 172,089.56 = 172,089.56 : x
  2. Step 2: Convert to fraction form
    80,149.50/172,089.56 = 172,089.56/x
  3. Step 3: Cross multiply
    80,149.50x = 172,089.56 × 172,089.56
  4. Step 4: Simplify right side
    80,149.50x = 29,614,817,521.44
  5. Step 5: Solve for x
    x = 29,614,817,521.44/80,149.50
  6. Step 6: Final answer
    x = 369,494.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.