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Finding the Third Proportional to 75,930 and 175,782

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Solution

The third proportional to 75,930 and 175,782 is: 406,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,930 : 175,782 = 175,782 : x
  2. Step 2: Convert to fraction form
    75,930/175,782 = 175,782/x
  3. Step 3: Cross multiply
    75,930x = 175,782 × 175,782
  4. Step 4: Simplify right side
    75,930x = 30,899,311,524
  5. Step 5: Solve for x
    x = 30,899,311,524/75,930
  6. Step 6: Final answer
    x = 406,944.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.