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Finding the Third Proportional to 41,180 and 84,301

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Solution

The third proportional to 41,180 and 84,301 is: 172,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180 : 84,301 = 84,301 : x
  2. Step 2: Convert to fraction form
    41,180/84,301 = 84,301/x
  3. Step 3: Cross multiply
    41,180x = 84,301 × 84,301
  4. Step 4: Simplify right side
    41,180x = 7,106,658,601
  5. Step 5: Solve for x
    x = 7,106,658,601/41,180
  6. Step 6: Final answer
    x = 172,575.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.