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Finding the Third Proportional to 36,118 and 54,287

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Solution

The third proportional to 36,118 and 54,287 is: 81,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118 : 54,287 = 54,287 : x
  2. Step 2: Convert to fraction form
    36,118/54,287 = 54,287/x
  3. Step 3: Cross multiply
    36,118x = 54,287 × 54,287
  4. Step 4: Simplify right side
    36,118x = 2,947,078,369
  5. Step 5: Solve for x
    x = 2,947,078,369/36,118
  6. Step 6: Final answer
    x = 81,595.84

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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.