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Finding the Third Proportional to 95,797.50 and 140,912.25

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Solution

The third proportional to 95,797.50 and 140,912.25 is: 207,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,797.50 : 140,912.25 = 140,912.25 : x
  2. Step 2: Convert to fraction form
    95,797.50/140,912.25 = 140,912.25/x
  3. Step 3: Cross multiply
    95,797.50x = 140,912.25 × 140,912.25
  4. Step 4: Simplify right side
    95,797.50x = 19,856,262,200.06
  5. Step 5: Solve for x
    x = 19,856,262,200.06/95,797.50
  6. Step 6: Final answer
    x = 207,273.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.