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Finding the Third Proportional to 59,617.50 and 126,340.50

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Solution

The third proportional to 59,617.50 and 126,340.50 is: 267,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,617.50 : 126,340.50 = 126,340.50 : x
  2. Step 2: Convert to fraction form
    59,617.50/126,340.50 = 126,340.50/x
  3. Step 3: Cross multiply
    59,617.50x = 126,340.50 × 126,340.50
  4. Step 4: Simplify right side
    59,617.50x = 15,961,921,940.25
  5. Step 5: Solve for x
    x = 15,961,921,940.25/59,617.50
  6. Step 6: Final answer
    x = 267,738.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.