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Finding the Third Proportional to 122,500.50 and 166,250.25

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Solution

The third proportional to 122,500.50 and 166,250.25 is: 225,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,500.50 : 166,250.25 = 166,250.25 : x
  2. Step 2: Convert to fraction form
    122,500.50/166,250.25 = 166,250.25/x
  3. Step 3: Cross multiply
    122,500.50x = 166,250.25 × 166,250.25
  4. Step 4: Simplify right side
    122,500.50x = 27,639,145,625.06
  5. Step 5: Solve for x
    x = 27,639,145,625.06/122,500.50
  6. Step 6: Final answer
    x = 225,624.76

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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.