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Finding the Third Proportional to 104,756 and 226,112

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Solution

The third proportional to 104,756 and 226,112 is: 488,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,756 : 226,112 = 226,112 : x
  2. Step 2: Convert to fraction form
    104,756/226,112 = 226,112/x
  3. Step 3: Cross multiply
    104,756x = 226,112 × 226,112
  4. Step 4: Simplify right side
    104,756x = 51,126,636,544
  5. Step 5: Solve for x
    x = 51,126,636,544/104,756
  6. Step 6: Final answer
    x = 488,054.49

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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.