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Finding the Third Proportional to 41,254 and 84,694

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Solution

The third proportional to 41,254 and 84,694 is: 173,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,254 : 84,694 = 84,694 : x
  2. Step 2: Convert to fraction form
    41,254/84,694 = 84,694/x
  3. Step 3: Cross multiply
    41,254x = 84,694 × 84,694
  4. Step 4: Simplify right side
    41,254x = 7,173,073,636
  5. Step 5: Solve for x
    x = 7,173,073,636/41,254
  6. Step 6: Final answer
    x = 173,875.83

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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.