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Finding the Third Proportional to 39,260 and 87,227

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Solution

The third proportional to 39,260 and 87,227 is: 193,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,260 : 87,227 = 87,227 : x
  2. Step 2: Convert to fraction form
    39,260/87,227 = 87,227/x
  3. Step 3: Cross multiply
    39,260x = 87,227 × 87,227
  4. Step 4: Simplify right side
    39,260x = 7,608,549,529
  5. Step 5: Solve for x
    x = 7,608,549,529/39,260
  6. Step 6: Final answer
    x = 193,799.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.