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Finding the Third Proportional to 102,847 and 164,234

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Solution

The third proportional to 102,847 and 164,234 is: 262,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,847 : 164,234 = 164,234 : x
  2. Step 2: Convert to fraction form
    102,847/164,234 = 164,234/x
  3. Step 3: Cross multiply
    102,847x = 164,234 × 164,234
  4. Step 4: Simplify right side
    102,847x = 26,972,806,756
  5. Step 5: Solve for x
    x = 26,972,806,756/102,847
  6. Step 6: Final answer
    x = 262,261.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.