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Finding the Third Proportional to 40,944 and 88,152

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Solution

The third proportional to 40,944 and 88,152 is: 189,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,944 : 88,152 = 88,152 : x
  2. Step 2: Convert to fraction form
    40,944/88,152 = 88,152/x
  3. Step 3: Cross multiply
    40,944x = 88,152 × 88,152
  4. Step 4: Simplify right side
    40,944x = 7,770,775,104
  5. Step 5: Solve for x
    x = 7,770,775,104/40,944
  6. Step 6: Final answer
    x = 189,790.33

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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.