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Finding the Third Proportional to 50,351 and 68,142

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Solution

The third proportional to 50,351 and 68,142 is: 92,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,351 : 68,142 = 68,142 : x
  2. Step 2: Convert to fraction form
    50,351/68,142 = 68,142/x
  3. Step 3: Cross multiply
    50,351x = 68,142 × 68,142
  4. Step 4: Simplify right side
    50,351x = 4,643,332,164
  5. Step 5: Solve for x
    x = 4,643,332,164/50,351
  6. Step 6: Final answer
    x = 92,219.26

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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.