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Finding the Third Proportional to 38,227 and 78,152

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Solution

The third proportional to 38,227 and 78,152 is: 159,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227 : 78,152 = 78,152 : x
  2. Step 2: Convert to fraction form
    38,227/78,152 = 78,152/x
  3. Step 3: Cross multiply
    38,227x = 78,152 × 78,152
  4. Step 4: Simplify right side
    38,227x = 6,107,735,104
  5. Step 5: Solve for x
    x = 6,107,735,104/38,227
  6. Step 6: Final answer
    x = 159,775.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.