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Finding the Third Proportional to 67,866 and 149,146

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Solution

The third proportional to 67,866 and 149,146 is: 327,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,866 : 149,146 = 149,146 : x
  2. Step 2: Convert to fraction form
    67,866/149,146 = 149,146/x
  3. Step 3: Cross multiply
    67,866x = 149,146 × 149,146
  4. Step 4: Simplify right side
    67,866x = 22,244,529,316
  5. Step 5: Solve for x
    x = 22,244,529,316/67,866
  6. Step 6: Final answer
    x = 327,771.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.