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Finding the Third Proportional to 53,198 and 80,949

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Solution

The third proportional to 53,198 and 80,949 is: 123,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198 : 80,949 = 80,949 : x
  2. Step 2: Convert to fraction form
    53,198/80,949 = 80,949/x
  3. Step 3: Cross multiply
    53,198x = 80,949 × 80,949
  4. Step 4: Simplify right side
    53,198x = 6,552,740,601
  5. Step 5: Solve for x
    x = 6,552,740,601/53,198
  6. Step 6: Final answer
    x = 123,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.