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Finding the Third Proportional to 35,204 and 71,631

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Solution

The third proportional to 35,204 and 71,631 is: 145,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,204 : 71,631 = 71,631 : x
  2. Step 2: Convert to fraction form
    35,204/71,631 = 71,631/x
  3. Step 3: Cross multiply
    35,204x = 71,631 × 71,631
  4. Step 4: Simplify right side
    35,204x = 5,131,000,161
  5. Step 5: Solve for x
    x = 5,131,000,161/35,204
  6. Step 6: Final answer
    x = 145,750.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.