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Finding the Third Proportional to 65,792.25 and 96,022.97

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Solution

The third proportional to 65,792.25 and 96,022.97 is: 140,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792.25 : 96,022.97 = 96,022.97 : x
  2. Step 2: Convert to fraction form
    65,792.25/96,022.97 = 96,022.97/x
  3. Step 3: Cross multiply
    65,792.25x = 96,022.97 × 96,022.97
  4. Step 4: Simplify right side
    65,792.25x = 9,220,410,527.56
  5. Step 5: Solve for x
    x = 9,220,410,527.56/65,792.25
  6. Step 6: Final answer
    x = 140,144.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.