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Finding the Third Proportional to 131,551 and 192,412

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Solution

The third proportional to 131,551 and 192,412 is: 281,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,551 : 192,412 = 192,412 : x
  2. Step 2: Convert to fraction form
    131,551/192,412 = 192,412/x
  3. Step 3: Cross multiply
    131,551x = 192,412 × 192,412
  4. Step 4: Simplify right side
    131,551x = 37,022,377,744
  5. Step 5: Solve for x
    x = 37,022,377,744/131,551
  6. Step 6: Final answer
    x = 281,429.85

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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.