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Finding the Third Proportional to 30,204 and 66,234

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Solution

The third proportional to 30,204 and 66,234 is: 145,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 66,234 = 66,234 : x
  2. Step 2: Convert to fraction form
    30,204/66,234 = 66,234/x
  3. Step 3: Cross multiply
    30,204x = 66,234 × 66,234
  4. Step 4: Simplify right side
    30,204x = 4,386,942,756
  5. Step 5: Solve for x
    x = 4,386,942,756/30,204
  6. Step 6: Final answer
    x = 145,243.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.