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Finding the Third Proportional to 73,024 and 80,704

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Solution

The third proportional to 73,024 and 80,704 is: 89,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,024 : 80,704 = 80,704 : x
  2. Step 2: Convert to fraction form
    73,024/80,704 = 80,704/x
  3. Step 3: Cross multiply
    73,024x = 80,704 × 80,704
  4. Step 4: Simplify right side
    73,024x = 6,513,135,616
  5. Step 5: Solve for x
    x = 6,513,135,616/73,024
  6. Step 6: Final answer
    x = 89,191.71

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.