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Finding the Third Proportional to 50,248 and 104,631

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Solution

The third proportional to 50,248 and 104,631 is: 217,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,248 : 104,631 = 104,631 : x
  2. Step 2: Convert to fraction form
    50,248/104,631 = 104,631/x
  3. Step 3: Cross multiply
    50,248x = 104,631 × 104,631
  4. Step 4: Simplify right side
    50,248x = 10,947,646,161
  5. Step 5: Solve for x
    x = 10,947,646,161/50,248
  6. Step 6: Final answer
    x = 217,872.28

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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.