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Finding the Third Proportional to 40,932 and 88,161

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Solution

The third proportional to 40,932 and 88,161 is: 189,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,932 : 88,161 = 88,161 : x
  2. Step 2: Convert to fraction form
    40,932/88,161 = 88,161/x
  3. Step 3: Cross multiply
    40,932x = 88,161 × 88,161
  4. Step 4: Simplify right side
    40,932x = 7,772,361,921
  5. Step 5: Solve for x
    x = 7,772,361,921/40,932
  6. Step 6: Final answer
    x = 189,884.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.