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Finding the Third Proportional to 50,522 and 79,079

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Solution

The third proportional to 50,522 and 79,079 is: 123,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,522 : 79,079 = 79,079 : x
  2. Step 2: Convert to fraction form
    50,522/79,079 = 79,079/x
  3. Step 3: Cross multiply
    50,522x = 79,079 × 79,079
  4. Step 4: Simplify right side
    50,522x = 6,253,488,241
  5. Step 5: Solve for x
    x = 6,253,488,241/50,522
  6. Step 6: Final answer
    x = 123,777.53

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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.