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Finding the Third Proportional to 41,916 and 88,152

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Solution

The third proportional to 41,916 and 88,152 is: 185,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,916 : 88,152 = 88,152 : x
  2. Step 2: Convert to fraction form
    41,916/88,152 = 88,152/x
  3. Step 3: Cross multiply
    41,916x = 88,152 × 88,152
  4. Step 4: Simplify right side
    41,916x = 7,770,775,104
  5. Step 5: Solve for x
    x = 7,770,775,104/41,916
  6. Step 6: Final answer
    x = 185,389.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.