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Finding the Third Proportional to 57,655.97 and 126,662.63

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Solution

The third proportional to 57,655.97 and 126,662.63 is: 278,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,655.97 : 126,662.63 = 126,662.63 : x
  2. Step 2: Convert to fraction form
    57,655.97/126,662.63 = 126,662.63/x
  3. Step 3: Cross multiply
    57,655.97x = 126,662.63 × 126,662.63
  4. Step 4: Simplify right side
    57,655.97x = 16,043,420,571.89
  5. Step 5: Solve for x
    x = 16,043,420,571.89/57,655.97
  6. Step 6: Final answer
    x = 278,261.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.