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Finding the Third Proportional to 99,750 and 166,233

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Solution

The third proportional to 99,750 and 166,233 is: 277,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,750 : 166,233 = 166,233 : x
  2. Step 2: Convert to fraction form
    99,750/166,233 = 166,233/x
  3. Step 3: Cross multiply
    99,750x = 166,233 × 166,233
  4. Step 4: Simplify right side
    99,750x = 27,633,410,289
  5. Step 5: Solve for x
    x = 27,633,410,289/99,750
  6. Step 6: Final answer
    x = 277,026.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.