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Finding the Third Proportional to 101,999 and 158,327

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Solution

The third proportional to 101,999 and 158,327 is: 245,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,999 : 158,327 = 158,327 : x
  2. Step 2: Convert to fraction form
    101,999/158,327 = 158,327/x
  3. Step 3: Cross multiply
    101,999x = 158,327 × 158,327
  4. Step 4: Simplify right side
    101,999x = 25,067,438,929
  5. Step 5: Solve for x
    x = 25,067,438,929/101,999
  6. Step 6: Final answer
    x = 245,761.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.