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Finding the Third Proportional to 36,101 and 54,152

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Solution

The third proportional to 36,101 and 54,152 is: 81,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,101 : 54,152 = 54,152 : x
  2. Step 2: Convert to fraction form
    36,101/54,152 = 54,152/x
  3. Step 3: Cross multiply
    36,101x = 54,152 × 54,152
  4. Step 4: Simplify right side
    36,101x = 2,932,439,104
  5. Step 5: Solve for x
    x = 2,932,439,104/36,101
  6. Step 6: Final answer
    x = 81,228.75

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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.