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Finding the Third Proportional to 39,003 and 84,234

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Solution

The third proportional to 39,003 and 84,234 is: 181,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,003 : 84,234 = 84,234 : x
  2. Step 2: Convert to fraction form
    39,003/84,234 = 84,234/x
  3. Step 3: Cross multiply
    39,003x = 84,234 × 84,234
  4. Step 4: Simplify right side
    39,003x = 7,095,366,756
  5. Step 5: Solve for x
    x = 7,095,366,756/39,003
  6. Step 6: Final answer
    x = 181,918.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.