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Finding the Third Proportional to 96,795 and 146,649

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Solution

The third proportional to 96,795 and 146,649 is: 222,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795 : 146,649 = 146,649 : x
  2. Step 2: Convert to fraction form
    96,795/146,649 = 146,649/x
  3. Step 3: Cross multiply
    96,795x = 146,649 × 146,649
  4. Step 4: Simplify right side
    96,795x = 21,505,929,201
  5. Step 5: Solve for x
    x = 21,505,929,201/96,795
  6. Step 6: Final answer
    x = 222,180.17

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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.