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Finding the Third Proportional to 67,380.75 and 142,976.25

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Solution

The third proportional to 67,380.75 and 142,976.25 is: 303,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,380.75 : 142,976.25 = 142,976.25 : x
  2. Step 2: Convert to fraction form
    67,380.75/142,976.25 = 142,976.25/x
  3. Step 3: Cross multiply
    67,380.75x = 142,976.25 × 142,976.25
  4. Step 4: Simplify right side
    67,380.75x = 20,442,208,064.06
  5. Step 5: Solve for x
    x = 20,442,208,064.06/67,380.75
  6. Step 6: Final answer
    x = 303,383.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.