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Finding the Third Proportional to 50,483 and 79,198

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Solution

The third proportional to 50,483 and 79,198 is: 124,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483 : 79,198 = 79,198 : x
  2. Step 2: Convert to fraction form
    50,483/79,198 = 79,198/x
  3. Step 3: Cross multiply
    50,483x = 79,198 × 79,198
  4. Step 4: Simplify right side
    50,483x = 6,272,323,204
  5. Step 5: Solve for x
    x = 6,272,323,204/50,483
  6. Step 6: Final answer
    x = 124,246.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.