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Finding the Third Proportional to 32,129.06 and 69,620.44

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Solution

The third proportional to 32,129.06 and 69,620.44 is: 150,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.06 : 69,620.44 = 69,620.44 : x
  2. Step 2: Convert to fraction form
    32,129.06/69,620.44 = 69,620.44/x
  3. Step 3: Cross multiply
    32,129.06x = 69,620.44 × 69,620.44
  4. Step 4: Simplify right side
    32,129.06x = 4,847,005,317.69
  5. Step 5: Solve for x
    x = 4,847,005,317.69/32,129.06
  6. Step 6: Final answer
    x = 150,860.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.