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Finding the Third Proportional to 73,910 and 167,549

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Solution

The third proportional to 73,910 and 167,549 is: 379,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,910 : 167,549 = 167,549 : x
  2. Step 2: Convert to fraction form
    73,910/167,549 = 167,549/x
  3. Step 3: Cross multiply
    73,910x = 167,549 × 167,549
  4. Step 4: Simplify right side
    73,910x = 28,072,667,401
  5. Step 5: Solve for x
    x = 28,072,667,401/73,910
  6. Step 6: Final answer
    x = 379,822.32

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.