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Finding the Third Proportional to 54,786.38 and 117,748.69

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Solution

The third proportional to 54,786.38 and 117,748.69 is: 253,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786.38 : 117,748.69 = 117,748.69 : x
  2. Step 2: Convert to fraction form
    54,786.38/117,748.69 = 117,748.69/x
  3. Step 3: Cross multiply
    54,786.38x = 117,748.69 × 117,748.69
  4. Step 4: Simplify right side
    54,786.38x = 13,864,753,407.97
  5. Step 5: Solve for x
    x = 13,864,753,407.97/54,786.38
  6. Step 6: Final answer
    x = 253,069.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.