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Finding the Third Proportional to 65,627.25 and 134,022.75

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Solution

The third proportional to 65,627.25 and 134,022.75 is: 273,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,627.25 : 134,022.75 = 134,022.75 : x
  2. Step 2: Convert to fraction form
    65,627.25/134,022.75 = 134,022.75/x
  3. Step 3: Cross multiply
    65,627.25x = 134,022.75 × 134,022.75
  4. Step 4: Simplify right side
    65,627.25x = 17,962,097,517.56
  5. Step 5: Solve for x
    x = 17,962,097,517.56/65,627.25
  6. Step 6: Final answer
    x = 273,698.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.