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Finding the Third Proportional to 44,096 and 95,161

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Solution

The third proportional to 44,096 and 95,161 is: 205,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,096 : 95,161 = 95,161 : x
  2. Step 2: Convert to fraction form
    44,096/95,161 = 95,161/x
  3. Step 3: Cross multiply
    44,096x = 95,161 × 95,161
  4. Step 4: Simplify right side
    44,096x = 9,055,615,921
  5. Step 5: Solve for x
    x = 9,055,615,921/44,096
  6. Step 6: Final answer
    x = 205,361.39

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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.