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Finding the Third Proportional to 67,183 and 146,645

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Solution

The third proportional to 67,183 and 146,645 is: 320,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,183 : 146,645 = 146,645 : x
  2. Step 2: Convert to fraction form
    67,183/146,645 = 146,645/x
  3. Step 3: Cross multiply
    67,183x = 146,645 × 146,645
  4. Step 4: Simplify right side
    67,183x = 21,504,756,025
  5. Step 5: Solve for x
    x = 21,504,756,025/67,183
  6. Step 6: Final answer
    x = 320,092.23

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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.