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Finding the Third Proportional to 96,846 and 146,718

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Solution

The third proportional to 96,846 and 146,718 is: 222,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,846 : 146,718 = 146,718 : x
  2. Step 2: Convert to fraction form
    96,846/146,718 = 146,718/x
  3. Step 3: Cross multiply
    96,846x = 146,718 × 146,718
  4. Step 4: Simplify right side
    96,846x = 21,526,171,524
  5. Step 5: Solve for x
    x = 21,526,171,524/96,846
  6. Step 6: Final answer
    x = 222,272.18

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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.