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Finding the Third Proportional to 95,917.50 and 150,138

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Solution

The third proportional to 95,917.50 and 150,138 is: 235,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,917.50 : 150,138 = 150,138 : x
  2. Step 2: Convert to fraction form
    95,917.50/150,138 = 150,138/x
  3. Step 3: Cross multiply
    95,917.50x = 150,138 × 150,138
  4. Step 4: Simplify right side
    95,917.50x = 22,541,419,044
  5. Step 5: Solve for x
    x = 22,541,419,044/95,917.50
  6. Step 6: Final answer
    x = 235,008.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.