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Finding the Third Proportional to 42,817.50 and 68,190.75

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Solution

The third proportional to 42,817.50 and 68,190.75 is: 108,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.50 : 68,190.75 = 68,190.75 : x
  2. Step 2: Convert to fraction form
    42,817.50/68,190.75 = 68,190.75/x
  3. Step 3: Cross multiply
    42,817.50x = 68,190.75 × 68,190.75
  4. Step 4: Simplify right side
    42,817.50x = 4,649,978,385.56
  5. Step 5: Solve for x
    x = 4,649,978,385.56/42,817.50
  6. Step 6: Final answer
    x = 108,599.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.