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Finding the Third Proportional to 50,857 and 73,977

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Solution

The third proportional to 50,857 and 73,977 is: 107,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857 : 73,977 = 73,977 : x
  2. Step 2: Convert to fraction form
    50,857/73,977 = 73,977/x
  3. Step 3: Cross multiply
    50,857x = 73,977 × 73,977
  4. Step 4: Simplify right side
    50,857x = 5,472,596,529
  5. Step 5: Solve for x
    x = 5,472,596,529/50,857
  6. Step 6: Final answer
    x = 107,607.54

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.