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Finding the Third Proportional to 89,289 and 192,474

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Solution

The third proportional to 89,289 and 192,474 is: 414,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,289 : 192,474 = 192,474 : x
  2. Step 2: Convert to fraction form
    89,289/192,474 = 192,474/x
  3. Step 3: Cross multiply
    89,289x = 192,474 × 192,474
  4. Step 4: Simplify right side
    89,289x = 37,046,240,676
  5. Step 5: Solve for x
    x = 37,046,240,676/89,289
  6. Step 6: Final answer
    x = 414,902.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.