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Finding the Third Proportional to 91,519 and 167,849

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Solution

The third proportional to 91,519 and 167,849 is: 307,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,519 : 167,849 = 167,849 : x
  2. Step 2: Convert to fraction form
    91,519/167,849 = 167,849/x
  3. Step 3: Cross multiply
    91,519x = 167,849 × 167,849
  4. Step 4: Simplify right side
    91,519x = 28,173,286,801
  5. Step 5: Solve for x
    x = 28,173,286,801/91,519
  6. Step 6: Final answer
    x = 307,840.85

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.