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Finding the Third Proportional to 73,911 and 167,551

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Solution

The third proportional to 73,911 and 167,551 is: 379,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,911 : 167,551 = 167,551 : x
  2. Step 2: Convert to fraction form
    73,911/167,551 = 167,551/x
  3. Step 3: Cross multiply
    73,911x = 167,551 × 167,551
  4. Step 4: Simplify right side
    73,911x = 28,073,337,601
  5. Step 5: Solve for x
    x = 28,073,337,601/73,911
  6. Step 6: Final answer
    x = 379,826.25

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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.