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Finding the Third Proportional to 80,589.75 and 189,567

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Solution

The third proportional to 80,589.75 and 189,567 is: 445,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,589.75 : 189,567 = 189,567 : x
  2. Step 2: Convert to fraction form
    80,589.75/189,567 = 189,567/x
  3. Step 3: Cross multiply
    80,589.75x = 189,567 × 189,567
  4. Step 4: Simplify right side
    80,589.75x = 35,935,647,489
  5. Step 5: Solve for x
    x = 35,935,647,489/80,589.75
  6. Step 6: Final answer
    x = 445,908.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.