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Finding the Third Proportional to 54,160.75 and 116,884.75

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Solution

The third proportional to 54,160.75 and 116,884.75 is: 252,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,160.75 : 116,884.75 = 116,884.75 : x
  2. Step 2: Convert to fraction form
    54,160.75/116,884.75 = 116,884.75/x
  3. Step 3: Cross multiply
    54,160.75x = 116,884.75 × 116,884.75
  4. Step 4: Simplify right side
    54,160.75x = 13,662,044,782.56
  5. Step 5: Solve for x
    x = 13,662,044,782.56/54,160.75
  6. Step 6: Final answer
    x = 252,249.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.