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Finding the Third Proportional to 40,832 and 88,954

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Solution

The third proportional to 40,832 and 88,954 is: 193,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832 : 88,954 = 88,954 : x
  2. Step 2: Convert to fraction form
    40,832/88,954 = 88,954/x
  3. Step 3: Cross multiply
    40,832x = 88,954 × 88,954
  4. Step 4: Simplify right side
    40,832x = 7,912,814,116
  5. Step 5: Solve for x
    x = 7,912,814,116/40,832
  6. Step 6: Final answer
    x = 193,789.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.