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Finding the Third Proportional to 76,761.98 and 166,635.84

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Solution

The third proportional to 76,761.98 and 166,635.84 is: 361,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761.98 : 166,635.84 = 166,635.84 : x
  2. Step 2: Convert to fraction form
    76,761.98/166,635.84 = 166,635.84/x
  3. Step 3: Cross multiply
    76,761.98x = 166,635.84 × 166,635.84
  4. Step 4: Simplify right side
    76,761.98x = 27,767,504,422.27
  5. Step 5: Solve for x
    x = 27,767,504,422.27/76,761.98
  6. Step 6: Final answer
    x = 361,735.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.