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Finding the Third Proportional to 96,098 and 146,517

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Solution

The third proportional to 96,098 and 146,517 is: 223,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,098 : 146,517 = 146,517 : x
  2. Step 2: Convert to fraction form
    96,098/146,517 = 146,517/x
  3. Step 3: Cross multiply
    96,098x = 146,517 × 146,517
  4. Step 4: Simplify right side
    96,098x = 21,467,231,289
  5. Step 5: Solve for x
    x = 21,467,231,289/96,098
  6. Step 6: Final answer
    x = 223,388.95

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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.