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Finding the Third Proportional to 50,249 and 104,632

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Solution

The third proportional to 50,249 and 104,632 is: 217,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249 : 104,632 = 104,632 : x
  2. Step 2: Convert to fraction form
    50,249/104,632 = 104,632/x
  3. Step 3: Cross multiply
    50,249x = 104,632 × 104,632
  4. Step 4: Simplify right side
    50,249x = 10,947,855,424
  5. Step 5: Solve for x
    x = 10,947,855,424/50,249
  6. Step 6: Final answer
    x = 217,872.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.