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Finding the Third Proportional to 49,816 and 107,503

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Solution

The third proportional to 49,816 and 107,503 is: 231,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,816 : 107,503 = 107,503 : x
  2. Step 2: Convert to fraction form
    49,816/107,503 = 107,503/x
  3. Step 3: Cross multiply
    49,816x = 107,503 × 107,503
  4. Step 4: Simplify right side
    49,816x = 11,556,895,009
  5. Step 5: Solve for x
    x = 11,556,895,009/49,816
  6. Step 6: Final answer
    x = 231,991.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.