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Finding the Third Proportional to 36,104 and 54,084

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Solution

The third proportional to 36,104 and 54,084 is: 81,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104 : 54,084 = 54,084 : x
  2. Step 2: Convert to fraction form
    36,104/54,084 = 54,084/x
  3. Step 3: Cross multiply
    36,104x = 54,084 × 54,084
  4. Step 4: Simplify right side
    36,104x = 2,925,079,056
  5. Step 5: Solve for x
    x = 2,925,079,056/36,104
  6. Step 6: Final answer
    x = 81,018.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.