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Finding the Third Proportional to 131,620 and 192,494

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Solution

The third proportional to 131,620 and 192,494 is: 281,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,620 : 192,494 = 192,494 : x
  2. Step 2: Convert to fraction form
    131,620/192,494 = 192,494/x
  3. Step 3: Cross multiply
    131,620x = 192,494 × 192,494
  4. Step 4: Simplify right side
    131,620x = 37,053,940,036
  5. Step 5: Solve for x
    x = 37,053,940,036/131,620
  6. Step 6: Final answer
    x = 281,522.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.