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Finding the Third Proportional to 126,896.25 and 178,539.75

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Solution

The third proportional to 126,896.25 and 178,539.75 is: 251,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,896.25 : 178,539.75 = 178,539.75 : x
  2. Step 2: Convert to fraction form
    126,896.25/178,539.75 = 178,539.75/x
  3. Step 3: Cross multiply
    126,896.25x = 178,539.75 × 178,539.75
  4. Step 4: Simplify right side
    126,896.25x = 31,876,442,330.06
  5. Step 5: Solve for x
    x = 31,876,442,330.06/126,896.25
  6. Step 6: Final answer
    x = 251,200.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.