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Finding the Third Proportional to 50,772 and 79,398

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Solution

The third proportional to 50,772 and 79,398 is: 124,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,772 : 79,398 = 79,398 : x
  2. Step 2: Convert to fraction form
    50,772/79,398 = 79,398/x
  3. Step 3: Cross multiply
    50,772x = 79,398 × 79,398
  4. Step 4: Simplify right side
    50,772x = 6,304,042,404
  5. Step 5: Solve for x
    x = 6,304,042,404/50,772
  6. Step 6: Final answer
    x = 124,163.76

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