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Finding the Third Proportional to 131,680 and 188,170

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Solution

The third proportional to 131,680 and 188,170 is: 268,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,680 : 188,170 = 188,170 : x
  2. Step 2: Convert to fraction form
    131,680/188,170 = 188,170/x
  3. Step 3: Cross multiply
    131,680x = 188,170 × 188,170
  4. Step 4: Simplify right side
    131,680x = 35,407,948,900
  5. Step 5: Solve for x
    x = 35,407,948,900/131,680
  6. Step 6: Final answer
    x = 268,893.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.