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Finding the Third Proportional to 104,512 and 225,544

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Solution

The third proportional to 104,512 and 225,544 is: 486,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,512 : 225,544 = 225,544 : x
  2. Step 2: Convert to fraction form
    104,512/225,544 = 225,544/x
  3. Step 3: Cross multiply
    104,512x = 225,544 × 225,544
  4. Step 4: Simplify right side
    104,512x = 50,870,095,936
  5. Step 5: Solve for x
    x = 50,870,095,936/104,512
  6. Step 6: Final answer
    x = 486,739.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.