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Finding the Third Proportional to 36,908 and 81,060

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Solution

The third proportional to 36,908 and 81,060 is: 178,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,908 : 81,060 = 81,060 : x
  2. Step 2: Convert to fraction form
    36,908/81,060 = 81,060/x
  3. Step 3: Cross multiply
    36,908x = 81,060 × 81,060
  4. Step 4: Simplify right side
    36,908x = 6,570,723,600
  5. Step 5: Solve for x
    x = 6,570,723,600/36,908
  6. Step 6: Final answer
    x = 178,029.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.