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Finding the Third Proportional to 32,190.75 and 68,056.88

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Solution

The third proportional to 32,190.75 and 68,056.88 is: 143,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.75 : 68,056.88 = 68,056.88 : x
  2. Step 2: Convert to fraction form
    32,190.75/68,056.88 = 68,056.88/x
  3. Step 3: Cross multiply
    32,190.75x = 68,056.88 × 68,056.88
  4. Step 4: Simplify right side
    32,190.75x = 4,631,738,234.77
  5. Step 5: Solve for x
    x = 4,631,738,234.77/32,190.75
  6. Step 6: Final answer
    x = 143,884.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.