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Finding the Third Proportional to 32,108 and 68,667

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Solution

The third proportional to 32,108 and 68,667 is: 146,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108 : 68,667 = 68,667 : x
  2. Step 2: Convert to fraction form
    32,108/68,667 = 68,667/x
  3. Step 3: Cross multiply
    32,108x = 68,667 × 68,667
  4. Step 4: Simplify right side
    32,108x = 4,715,156,889
  5. Step 5: Solve for x
    x = 4,715,156,889/32,108
  6. Step 6: Final answer
    x = 146,853.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.