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Finding the Third Proportional to 32,396 and 71,170

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Solution

The third proportional to 32,396 and 71,170 is: 156,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396 : 71,170 = 71,170 : x
  2. Step 2: Convert to fraction form
    32,396/71,170 = 71,170/x
  3. Step 3: Cross multiply
    32,396x = 71,170 × 71,170
  4. Step 4: Simplify right side
    32,396x = 5,065,168,900
  5. Step 5: Solve for x
    x = 5,065,168,900/32,396
  6. Step 6: Final answer
    x = 156,351.68

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Why These Related Problems?

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