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Finding the Third Proportional to 80,940 and 189,049

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Solution

The third proportional to 80,940 and 189,049 is: 441,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,940 : 189,049 = 189,049 : x
  2. Step 2: Convert to fraction form
    80,940/189,049 = 189,049/x
  3. Step 3: Cross multiply
    80,940x = 189,049 × 189,049
  4. Step 4: Simplify right side
    80,940x = 35,739,524,401
  5. Step 5: Solve for x
    x = 35,739,524,401/80,940
  6. Step 6: Final answer
    x = 441,555.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.