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Finding the Third Proportional to 44,541 and 95,994

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Solution

The third proportional to 44,541 and 95,994 is: 206,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,541 : 95,994 = 95,994 : x
  2. Step 2: Convert to fraction form
    44,541/95,994 = 95,994/x
  3. Step 3: Cross multiply
    44,541x = 95,994 × 95,994
  4. Step 4: Simplify right side
    44,541x = 9,214,848,036
  5. Step 5: Solve for x
    x = 9,214,848,036/44,541
  6. Step 6: Final answer
    x = 206,884.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.