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Finding the Third Proportional to 40,927 and 88,153

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Solution

The third proportional to 40,927 and 88,153 is: 189,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,927 : 88,153 = 88,153 : x
  2. Step 2: Convert to fraction form
    40,927/88,153 = 88,153/x
  3. Step 3: Cross multiply
    40,927x = 88,153 × 88,153
  4. Step 4: Simplify right side
    40,927x = 7,770,951,409
  5. Step 5: Solve for x
    x = 7,770,951,409/40,927
  6. Step 6: Final answer
    x = 189,873.47

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