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Finding the Third Proportional to 122,735.25 and 166,606.88

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Solution

The third proportional to 122,735.25 and 166,606.88 is: 226,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,735.25 : 166,606.88 = 166,606.88 : x
  2. Step 2: Convert to fraction form
    122,735.25/166,606.88 = 166,606.88/x
  3. Step 3: Cross multiply
    122,735.25x = 166,606.88 × 166,606.88
  4. Step 4: Simplify right side
    122,735.25x = 27,757,850,797.27
  5. Step 5: Solve for x
    x = 27,757,850,797.27/122,735.25
  6. Step 6: Final answer
    x = 226,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.