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Finding the Third Proportional to 50,743 and 72,126

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Solution

The third proportional to 50,743 and 72,126 is: 102,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,743 : 72,126 = 72,126 : x
  2. Step 2: Convert to fraction form
    50,743/72,126 = 72,126/x
  3. Step 3: Cross multiply
    50,743x = 72,126 × 72,126
  4. Step 4: Simplify right side
    50,743x = 5,202,159,876
  5. Step 5: Solve for x
    x = 5,202,159,876/50,743
  6. Step 6: Final answer
    x = 102,519.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.