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Finding the Third Proportional to 81,982 and 126,191

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Solution

The third proportional to 81,982 and 126,191 is: 194,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982 : 126,191 = 126,191 : x
  2. Step 2: Convert to fraction form
    81,982/126,191 = 126,191/x
  3. Step 3: Cross multiply
    81,982x = 126,191 × 126,191
  4. Step 4: Simplify right side
    81,982x = 15,924,168,481
  5. Step 5: Solve for x
    x = 15,924,168,481/81,982
  6. Step 6: Final answer
    x = 194,239.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.