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Finding the Third Proportional to 80,031 and 173,634

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Solution

The third proportional to 80,031 and 173,634 is: 376,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,031 : 173,634 = 173,634 : x
  2. Step 2: Convert to fraction form
    80,031/173,634 = 173,634/x
  3. Step 3: Cross multiply
    80,031x = 173,634 × 173,634
  4. Step 4: Simplify right side
    80,031x = 30,148,765,956
  5. Step 5: Solve for x
    x = 30,148,765,956/80,031
  6. Step 6: Final answer
    x = 376,713.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.