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Finding the Third Proportional to 96,836 and 146,703

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Solution

The third proportional to 96,836 and 146,703 is: 222,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,836 : 146,703 = 146,703 : x
  2. Step 2: Convert to fraction form
    96,836/146,703 = 146,703/x
  3. Step 3: Cross multiply
    96,836x = 146,703 × 146,703
  4. Step 4: Simplify right side
    96,836x = 21,521,770,209
  5. Step 5: Solve for x
    x = 21,521,770,209/96,836
  6. Step 6: Final answer
    x = 222,249.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.