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Finding the Third Proportional to 43,996 and 96,741

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Solution

The third proportional to 43,996 and 96,741 is: 212,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,996 : 96,741 = 96,741 : x
  2. Step 2: Convert to fraction form
    43,996/96,741 = 96,741/x
  3. Step 3: Cross multiply
    43,996x = 96,741 × 96,741
  4. Step 4: Simplify right side
    43,996x = 9,358,821,081
  5. Step 5: Solve for x
    x = 9,358,821,081/43,996
  6. Step 6: Final answer
    x = 212,719.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.