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Finding the Third Proportional to 32,164.31 and 70,872.75

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Solution

The third proportional to 32,164.31 and 70,872.75 is: 156,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.31 : 70,872.75 = 70,872.75 : x
  2. Step 2: Convert to fraction form
    32,164.31/70,872.75 = 70,872.75/x
  3. Step 3: Cross multiply
    32,164.31x = 70,872.75 × 70,872.75
  4. Step 4: Simplify right side
    32,164.31x = 5,022,946,692.56
  5. Step 5: Solve for x
    x = 5,022,946,692.56/32,164.31
  6. Step 6: Final answer
    x = 156,165.21

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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.