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Finding the Third Proportional to 42,759.75 and 98,976.75

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Solution

The third proportional to 42,759.75 and 98,976.75 is: 229,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,759.75 : 98,976.75 = 98,976.75 : x
  2. Step 2: Convert to fraction form
    42,759.75/98,976.75 = 98,976.75/x
  3. Step 3: Cross multiply
    42,759.75x = 98,976.75 × 98,976.75
  4. Step 4: Simplify right side
    42,759.75x = 9,796,397,040.56
  5. Step 5: Solve for x
    x = 9,796,397,040.56/42,759.75
  6. Step 6: Final answer
    x = 229,103.23

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.