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Finding the Third Proportional to 136,001 and 206,999

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Solution

The third proportional to 136,001 and 206,999 is: 315,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,001 : 206,999 = 206,999 : x
  2. Step 2: Convert to fraction form
    136,001/206,999 = 206,999/x
  3. Step 3: Cross multiply
    136,001x = 206,999 × 206,999
  4. Step 4: Simplify right side
    136,001x = 42,848,586,001
  5. Step 5: Solve for x
    x = 42,848,586,001/136,001
  6. Step 6: Final answer
    x = 315,060.82

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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.