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Finding the Third Proportional to 104,881 and 224,181

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Solution

The third proportional to 104,881 and 224,181 is: 479,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,881 : 224,181 = 224,181 : x
  2. Step 2: Convert to fraction form
    104,881/224,181 = 224,181/x
  3. Step 3: Cross multiply
    104,881x = 224,181 × 224,181
  4. Step 4: Simplify right side
    104,881x = 50,257,120,761
  5. Step 5: Solve for x
    x = 50,257,120,761/104,881
  6. Step 6: Final answer
    x = 479,182.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.