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Finding the Third Proportional to 36,031 and 84,182

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Solution

The third proportional to 36,031 and 84,182 is: 196,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031 : 84,182 = 84,182 : x
  2. Step 2: Convert to fraction form
    36,031/84,182 = 84,182/x
  3. Step 3: Cross multiply
    36,031x = 84,182 × 84,182
  4. Step 4: Simplify right side
    36,031x = 7,086,609,124
  5. Step 5: Solve for x
    x = 7,086,609,124/36,031
  6. Step 6: Final answer
    x = 196,680.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.