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Finding the Third Proportional to 96,633 and 146,286

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Solution

The third proportional to 96,633 and 146,286 is: 221,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,633 : 146,286 = 146,286 : x
  2. Step 2: Convert to fraction form
    96,633/146,286 = 146,286/x
  3. Step 3: Cross multiply
    96,633x = 146,286 × 146,286
  4. Step 4: Simplify right side
    96,633x = 21,399,593,796
  5. Step 5: Solve for x
    x = 21,399,593,796/96,633
  6. Step 6: Final answer
    x = 221,452.23

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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.