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Finding the Third Proportional to 131,494 and 192,601

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Solution

The third proportional to 131,494 and 192,601 is: 282,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494 : 192,601 = 192,601 : x
  2. Step 2: Convert to fraction form
    131,494/192,601 = 192,601/x
  3. Step 3: Cross multiply
    131,494x = 192,601 × 192,601
  4. Step 4: Simplify right side
    131,494x = 37,095,145,201
  5. Step 5: Solve for x
    x = 37,095,145,201/131,494
  6. Step 6: Final answer
    x = 282,105.23

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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.