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Finding the Third Proportional to 79,038 and 188,919

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Solution

The third proportional to 79,038 and 188,919 is: 451,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,038 : 188,919 = 188,919 : x
  2. Step 2: Convert to fraction form
    79,038/188,919 = 188,919/x
  3. Step 3: Cross multiply
    79,038x = 188,919 × 188,919
  4. Step 4: Simplify right side
    79,038x = 35,690,388,561
  5. Step 5: Solve for x
    x = 35,690,388,561/79,038
  6. Step 6: Final answer
    x = 451,559.86

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.