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Finding the Third Proportional to 89,685 and 192,249

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Solution

The third proportional to 89,685 and 192,249 is: 412,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,685 : 192,249 = 192,249 : x
  2. Step 2: Convert to fraction form
    89,685/192,249 = 192,249/x
  3. Step 3: Cross multiply
    89,685x = 192,249 × 192,249
  4. Step 4: Simplify right side
    89,685x = 36,959,678,001
  5. Step 5: Solve for x
    x = 36,959,678,001/89,685
  6. Step 6: Final answer
    x = 412,105.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.