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Finding the Third Proportional to 41,678 and 84,898

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Solution

The third proportional to 41,678 and 84,898 is: 172,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678 : 84,898 = 84,898 : x
  2. Step 2: Convert to fraction form
    41,678/84,898 = 84,898/x
  3. Step 3: Cross multiply
    41,678x = 84,898 × 84,898
  4. Step 4: Simplify right side
    41,678x = 7,207,670,404
  5. Step 5: Solve for x
    x = 7,207,670,404/41,678
  6. Step 6: Final answer
    x = 172,937.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.