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Finding the Third Proportional to 104,144 and 224,110

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Solution

The third proportional to 104,144 and 224,110 is: 482,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,144 : 224,110 = 224,110 : x
  2. Step 2: Convert to fraction form
    104,144/224,110 = 224,110/x
  3. Step 3: Cross multiply
    104,144x = 224,110 × 224,110
  4. Step 4: Simplify right side
    104,144x = 50,225,292,100
  5. Step 5: Solve for x
    x = 50,225,292,100/104,144
  6. Step 6: Final answer
    x = 482,267.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.