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Finding the Third Proportional to 50,729 and 79,577

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Solution

The third proportional to 50,729 and 79,577 is: 124,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,729 : 79,577 = 79,577 : x
  2. Step 2: Convert to fraction form
    50,729/79,577 = 79,577/x
  3. Step 3: Cross multiply
    50,729x = 79,577 × 79,577
  4. Step 4: Simplify right side
    50,729x = 6,332,498,929
  5. Step 5: Solve for x
    x = 6,332,498,929/50,729
  6. Step 6: Final answer
    x = 124,829.96

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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.