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Finding the Third Proportional to 122,538 and 166,305

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Solution

The third proportional to 122,538 and 166,305 is: 225,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,538 : 166,305 = 166,305 : x
  2. Step 2: Convert to fraction form
    122,538/166,305 = 166,305/x
  3. Step 3: Cross multiply
    122,538x = 166,305 × 166,305
  4. Step 4: Simplify right side
    122,538x = 27,657,353,025
  5. Step 5: Solve for x
    x = 27,657,353,025/122,538
  6. Step 6: Final answer
    x = 225,704.30

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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.