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Finding the Third Proportional to 62,296 and 146,249

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Solution

The third proportional to 62,296 and 146,249 is: 343,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,296 : 146,249 = 146,249 : x
  2. Step 2: Convert to fraction form
    62,296/146,249 = 146,249/x
  3. Step 3: Cross multiply
    62,296x = 146,249 × 146,249
  4. Step 4: Simplify right side
    62,296x = 21,388,770,001
  5. Step 5: Solve for x
    x = 21,388,770,001/62,296
  6. Step 6: Final answer
    x = 343,340.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.