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Finding the Third Proportional to 122,571 and 166,347

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Solution

The third proportional to 122,571 and 166,347 is: 225,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,571 : 166,347 = 166,347 : x
  2. Step 2: Convert to fraction form
    122,571/166,347 = 166,347/x
  3. Step 3: Cross multiply
    122,571x = 166,347 × 166,347
  4. Step 4: Simplify right side
    122,571x = 27,671,324,409
  5. Step 5: Solve for x
    x = 27,671,324,409/122,571
  6. Step 6: Final answer
    x = 225,757.52

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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.