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Finding the Third Proportional to 32,068 and 68,872

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Solution

The third proportional to 32,068 and 68,872 is: 147,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068 : 68,872 = 68,872 : x
  2. Step 2: Convert to fraction form
    32,068/68,872 = 68,872/x
  3. Step 3: Cross multiply
    32,068x = 68,872 × 68,872
  4. Step 4: Simplify right side
    32,068x = 4,743,352,384
  5. Step 5: Solve for x
    x = 4,743,352,384/32,068
  6. Step 6: Final answer
    x = 147,915.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.