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Finding the Third Proportional to 192,102 and 281,925

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Solution

The third proportional to 192,102 and 281,925 is: 413,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102 : 281,925 = 281,925 : x
  2. Step 2: Convert to fraction form
    192,102/281,925 = 281,925/x
  3. Step 3: Cross multiply
    192,102x = 281,925 × 281,925
  4. Step 4: Simplify right side
    192,102x = 79,481,705,625
  5. Step 5: Solve for x
    x = 79,481,705,625/192,102
  6. Step 6: Final answer
    x = 413,747.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.