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Finding the Third Proportional to 39,745 and 84,227

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Solution

The third proportional to 39,745 and 84,227 is: 178,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745 : 84,227 = 84,227 : x
  2. Step 2: Convert to fraction form
    39,745/84,227 = 84,227/x
  3. Step 3: Cross multiply
    39,745x = 84,227 × 84,227
  4. Step 4: Simplify right side
    39,745x = 7,094,187,529
  5. Step 5: Solve for x
    x = 7,094,187,529/39,745
  6. Step 6: Final answer
    x = 178,492.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.