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Finding the Third Proportional to 82,976.25 and 125,718.75

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Solution

The third proportional to 82,976.25 and 125,718.75 is: 190,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976.25 : 125,718.75 = 125,718.75 : x
  2. Step 2: Convert to fraction form
    82,976.25/125,718.75 = 125,718.75/x
  3. Step 3: Cross multiply
    82,976.25x = 125,718.75 × 125,718.75
  4. Step 4: Simplify right side
    82,976.25x = 15,805,204,101.56
  5. Step 5: Solve for x
    x = 15,805,204,101.56/82,976.25
  6. Step 6: Final answer
    x = 190,478.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.