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Finding the Third Proportional to 89,851 and 192,825

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Solution

The third proportional to 89,851 and 192,825 is: 413,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,851 : 192,825 = 192,825 : x
  2. Step 2: Convert to fraction form
    89,851/192,825 = 192,825/x
  3. Step 3: Cross multiply
    89,851x = 192,825 × 192,825
  4. Step 4: Simplify right side
    89,851x = 37,181,480,625
  5. Step 5: Solve for x
    x = 37,181,480,625/89,851
  6. Step 6: Final answer
    x = 413,812.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.