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Finding the Third Proportional to 104,296 and 149,456

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Solution

The third proportional to 104,296 and 149,456 is: 214,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,296 : 149,456 = 149,456 : x
  2. Step 2: Convert to fraction form
    104,296/149,456 = 149,456/x
  3. Step 3: Cross multiply
    104,296x = 149,456 × 149,456
  4. Step 4: Simplify right side
    104,296x = 22,337,095,936
  5. Step 5: Solve for x
    x = 22,337,095,936/104,296
  6. Step 6: Final answer
    x = 214,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.