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Finding the Third Proportional to 50,186 and 104,503

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Solution

The third proportional to 50,186 and 104,503 is: 217,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186 : 104,503 = 104,503 : x
  2. Step 2: Convert to fraction form
    50,186/104,503 = 104,503/x
  3. Step 3: Cross multiply
    50,186x = 104,503 × 104,503
  4. Step 4: Simplify right side
    50,186x = 10,920,877,009
  5. Step 5: Solve for x
    x = 10,920,877,009/50,186
  6. Step 6: Final answer
    x = 217,608.04

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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.