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Finding the Third Proportional to 32,190.50 and 69,739.50

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Solution

The third proportional to 32,190.50 and 69,739.50 is: 151,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.50 : 69,739.50 = 69,739.50 : x
  2. Step 2: Convert to fraction form
    32,190.50/69,739.50 = 69,739.50/x
  3. Step 3: Cross multiply
    32,190.50x = 69,739.50 × 69,739.50
  4. Step 4: Simplify right side
    32,190.50x = 4,863,597,860.25
  5. Step 5: Solve for x
    x = 4,863,597,860.25/32,190.50
  6. Step 6: Final answer
    x = 151,087.99

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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.