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Finding the Third Proportional to 32,168 and 70,880

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Solution

The third proportional to 32,168 and 70,880 is: 156,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168 : 70,880 = 70,880 : x
  2. Step 2: Convert to fraction form
    32,168/70,880 = 70,880/x
  3. Step 3: Cross multiply
    32,168x = 70,880 × 70,880
  4. Step 4: Simplify right side
    32,168x = 5,023,974,400
  5. Step 5: Solve for x
    x = 5,023,974,400/32,168
  6. Step 6: Final answer
    x = 156,179.26

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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.