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Finding the Third Proportional to 96,805 and 146,667

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Solution

The third proportional to 96,805 and 146,667 is: 222,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,805 : 146,667 = 146,667 : x
  2. Step 2: Convert to fraction form
    96,805/146,667 = 146,667/x
  3. Step 3: Cross multiply
    96,805x = 146,667 × 146,667
  4. Step 4: Simplify right side
    96,805x = 21,511,208,889
  5. Step 5: Solve for x
    x = 21,511,208,889/96,805
  6. Step 6: Final answer
    x = 222,211.75

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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.