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Finding the Third Proportional to 50,794 and 79,427

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Solution

The third proportional to 50,794 and 79,427 is: 124,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794 : 79,427 = 79,427 : x
  2. Step 2: Convert to fraction form
    50,794/79,427 = 79,427/x
  3. Step 3: Cross multiply
    50,794x = 79,427 × 79,427
  4. Step 4: Simplify right side
    50,794x = 6,308,648,329
  5. Step 5: Solve for x
    x = 6,308,648,329/50,794
  6. Step 6: Final answer
    x = 124,200.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.