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Finding the Third Proportional to 36,104 and 54,156

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Solution

The third proportional to 36,104 and 54,156 is: 81,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104 : 54,156 = 54,156 : x
  2. Step 2: Convert to fraction form
    36,104/54,156 = 54,156/x
  3. Step 3: Cross multiply
    36,104x = 54,156 × 54,156
  4. Step 4: Simplify right side
    36,104x = 2,932,872,336
  5. Step 5: Solve for x
    x = 2,932,872,336/36,104
  6. Step 6: Final answer
    x = 81,234

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Why These Related Problems?

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