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Finding the Third Proportional to 54,165 and 80,794.50

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Solution

The third proportional to 54,165 and 80,794.50 is: 120,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,165 : 80,794.50 = 80,794.50 : x
  2. Step 2: Convert to fraction form
    54,165/80,794.50 = 80,794.50/x
  3. Step 3: Cross multiply
    54,165x = 80,794.50 × 80,794.50
  4. Step 4: Simplify right side
    54,165x = 6,527,751,230.25
  5. Step 5: Solve for x
    x = 6,527,751,230.25/54,165
  6. Step 6: Final answer
    x = 120,516.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.