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Finding the Third Proportional to 32,877 and 68,082

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Solution

The third proportional to 32,877 and 68,082 is: 140,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877 : 68,082 = 68,082 : x
  2. Step 2: Convert to fraction form
    32,877/68,082 = 68,082/x
  3. Step 3: Cross multiply
    32,877x = 68,082 × 68,082
  4. Step 4: Simplify right side
    32,877x = 4,635,158,724
  5. Step 5: Solve for x
    x = 4,635,158,724/32,877
  6. Step 6: Final answer
    x = 140,984.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.