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Finding the Third Proportional to 32,168.25 and 70,879.50

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Solution

The third proportional to 32,168.25 and 70,879.50 is: 156,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168.25 : 70,879.50 = 70,879.50 : x
  2. Step 2: Convert to fraction form
    32,168.25/70,879.50 = 70,879.50/x
  3. Step 3: Cross multiply
    32,168.25x = 70,879.50 × 70,879.50
  4. Step 4: Simplify right side
    32,168.25x = 5,023,903,520.25
  5. Step 5: Solve for x
    x = 5,023,903,520.25/32,168.25
  6. Step 6: Final answer
    x = 156,175.84

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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.