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Finding the Third Proportional to 43,744 and 96,512

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Solution

The third proportional to 43,744 and 96,512 is: 212,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744 : 96,512 = 96,512 : x
  2. Step 2: Convert to fraction form
    43,744/96,512 = 96,512/x
  3. Step 3: Cross multiply
    43,744x = 96,512 × 96,512
  4. Step 4: Simplify right side
    43,744x = 9,314,566,144
  5. Step 5: Solve for x
    x = 9,314,566,144/43,744
  6. Step 6: Final answer
    x = 212,933.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.