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Finding the Third Proportional to 32,442 and 71,274

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Solution

The third proportional to 32,442 and 71,274 is: 156,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442 : 71,274 = 71,274 : x
  2. Step 2: Convert to fraction form
    32,442/71,274 = 71,274/x
  3. Step 3: Cross multiply
    32,442x = 71,274 × 71,274
  4. Step 4: Simplify right side
    32,442x = 5,079,983,076
  5. Step 5: Solve for x
    x = 5,079,983,076/32,442
  6. Step 6: Final answer
    x = 156,586.62

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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.