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Finding the Third Proportional to 80,604 and 189,592

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Solution

The third proportional to 80,604 and 189,592 is: 445,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,604 : 189,592 = 189,592 : x
  2. Step 2: Convert to fraction form
    80,604/189,592 = 189,592/x
  3. Step 3: Cross multiply
    80,604x = 189,592 × 189,592
  4. Step 4: Simplify right side
    80,604x = 35,945,126,464
  5. Step 5: Solve for x
    x = 35,945,126,464/80,604
  6. Step 6: Final answer
    x = 445,947.18

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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.