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Finding the Third Proportional to 55,704.43 and 115,676.07

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Solution

The third proportional to 55,704.43 and 115,676.07 is: 240,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.43 : 115,676.07 = 115,676.07 : x
  2. Step 2: Convert to fraction form
    55,704.43/115,676.07 = 115,676.07/x
  3. Step 3: Cross multiply
    55,704.43x = 115,676.07 × 115,676.07
  4. Step 4: Simplify right side
    55,704.43x = 13,380,952,791.08
  5. Step 5: Solve for x
    x = 13,380,952,791.08/55,704.43
  6. Step 6: Final answer
    x = 240,213.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.