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Finding the Third Proportional to 40,504 and 84,234

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Solution

The third proportional to 40,504 and 84,234 is: 175,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,504 : 84,234 = 84,234 : x
  2. Step 2: Convert to fraction form
    40,504/84,234 = 84,234/x
  3. Step 3: Cross multiply
    40,504x = 84,234 × 84,234
  4. Step 4: Simplify right side
    40,504x = 7,095,366,756
  5. Step 5: Solve for x
    x = 7,095,366,756/40,504
  6. Step 6: Final answer
    x = 175,176.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.