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Finding the Third Proportional to 76,474 and 179,924

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Solution

The third proportional to 76,474 and 179,924 is: 423,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474 : 179,924 = 179,924 : x
  2. Step 2: Convert to fraction form
    76,474/179,924 = 179,924/x
  3. Step 3: Cross multiply
    76,474x = 179,924 × 179,924
  4. Step 4: Simplify right side
    76,474x = 32,372,645,776
  5. Step 5: Solve for x
    x = 32,372,645,776/76,474
  6. Step 6: Final answer
    x = 423,315.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.