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Finding the Third Proportional to 131,622 and 192,497

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Solution

The third proportional to 131,622 and 192,497 is: 281,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,622 : 192,497 = 192,497 : x
  2. Step 2: Convert to fraction form
    131,622/192,497 = 192,497/x
  3. Step 3: Cross multiply
    131,622x = 192,497 × 192,497
  4. Step 4: Simplify right side
    131,622x = 37,055,095,009
  5. Step 5: Solve for x
    x = 37,055,095,009/131,622
  6. Step 6: Final answer
    x = 281,526.61

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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.