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Finding the Third Proportional to 55,809 and 80,149.50

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Solution

The third proportional to 55,809 and 80,149.50 is: 115,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809 : 80,149.50 = 80,149.50 : x
  2. Step 2: Convert to fraction form
    55,809/80,149.50 = 80,149.50/x
  3. Step 3: Cross multiply
    55,809x = 80,149.50 × 80,149.50
  4. Step 4: Simplify right side
    55,809x = 6,423,942,350.25
  5. Step 5: Solve for x
    x = 6,423,942,350.25/55,809
  6. Step 6: Final answer
    x = 115,105.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.