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Finding the Third Proportional to 50,811 and 68,542

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Solution

The third proportional to 50,811 and 68,542 is: 92,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,811 : 68,542 = 68,542 : x
  2. Step 2: Convert to fraction form
    50,811/68,542 = 68,542/x
  3. Step 3: Cross multiply
    50,811x = 68,542 × 68,542
  4. Step 4: Simplify right side
    50,811x = 4,698,005,764
  5. Step 5: Solve for x
    x = 4,698,005,764/50,811
  6. Step 6: Final answer
    x = 92,460.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.