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Finding the Third Proportional to 32,171 and 70,885

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Solution

The third proportional to 32,171 and 70,885 is: 156,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171 : 70,885 = 70,885 : x
  2. Step 2: Convert to fraction form
    32,171/70,885 = 70,885/x
  3. Step 3: Cross multiply
    32,171x = 70,885 × 70,885
  4. Step 4: Simplify right side
    32,171x = 5,024,683,225
  5. Step 5: Solve for x
    x = 5,024,683,225/32,171
  6. Step 6: Final answer
    x = 156,186.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.