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Finding the Third Proportional to 36,180 and 54,201

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Solution

The third proportional to 36,180 and 54,201 is: 81,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 54,201 = 54,201 : x
  2. Step 2: Convert to fraction form
    36,180/54,201 = 54,201/x
  3. Step 3: Cross multiply
    36,180x = 54,201 × 54,201
  4. Step 4: Simplify right side
    36,180x = 2,937,748,401
  5. Step 5: Solve for x
    x = 2,937,748,401/36,180
  6. Step 6: Final answer
    x = 81,198.13

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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.