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Finding the Third Proportional to 32,372 and 68,601

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Solution

The third proportional to 32,372 and 68,601 is: 145,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372 : 68,601 = 68,601 : x
  2. Step 2: Convert to fraction form
    32,372/68,601 = 68,601/x
  3. Step 3: Cross multiply
    32,372x = 68,601 × 68,601
  4. Step 4: Simplify right side
    32,372x = 4,706,097,201
  5. Step 5: Solve for x
    x = 4,706,097,201/32,372
  6. Step 6: Final answer
    x = 145,375.55

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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.