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Finding the Third Proportional to 52,744 and 107,446

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Solution

The third proportional to 52,744 and 107,446 is: 218,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,744 : 107,446 = 107,446 : x
  2. Step 2: Convert to fraction form
    52,744/107,446 = 107,446/x
  3. Step 3: Cross multiply
    52,744x = 107,446 × 107,446
  4. Step 4: Simplify right side
    52,744x = 11,544,642,916
  5. Step 5: Solve for x
    x = 11,544,642,916/52,744
  6. Step 6: Final answer
    x = 218,880.69

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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.