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Finding the Third Proportional to 76,221.50 and 113,227

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Solution

The third proportional to 76,221.50 and 113,227 is: 168,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221.50 : 113,227 = 113,227 : x
  2. Step 2: Convert to fraction form
    76,221.50/113,227 = 113,227/x
  3. Step 3: Cross multiply
    76,221.50x = 113,227 × 113,227
  4. Step 4: Simplify right side
    76,221.50x = 12,820,353,529
  5. Step 5: Solve for x
    x = 12,820,353,529/76,221.50
  6. Step 6: Final answer
    x = 168,198.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.