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Finding the Third Proportional to 102,771 and 224,170

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Solution

The third proportional to 102,771 and 224,170 is: 488,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,771 : 224,170 = 224,170 : x
  2. Step 2: Convert to fraction form
    102,771/224,170 = 224,170/x
  3. Step 3: Cross multiply
    102,771x = 224,170 × 224,170
  4. Step 4: Simplify right side
    102,771x = 50,252,188,900
  5. Step 5: Solve for x
    x = 50,252,188,900/102,771
  6. Step 6: Final answer
    x = 488,972.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.