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Finding the Third Proportional to 54,212.77 and 117,475.59

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Solution

The third proportional to 54,212.77 and 117,475.59 is: 254,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,212.77 : 117,475.59 = 117,475.59 : x
  2. Step 2: Convert to fraction form
    54,212.77/117,475.59 = 117,475.59/x
  3. Step 3: Cross multiply
    54,212.77x = 117,475.59 × 117,475.59
  4. Step 4: Simplify right side
    54,212.77x = 13,800,515,126.92
  5. Step 5: Solve for x
    x = 13,800,515,126.92/54,212.77
  6. Step 6: Final answer
    x = 254,562.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.