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Finding the Third Proportional to 117,561.75 and 171,414.75

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Solution

The third proportional to 117,561.75 and 171,414.75 is: 249,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,561.75 : 171,414.75 = 171,414.75 : x
  2. Step 2: Convert to fraction form
    117,561.75/171,414.75 = 171,414.75/x
  3. Step 3: Cross multiply
    117,561.75x = 171,414.75 × 171,414.75
  4. Step 4: Simplify right side
    117,561.75x = 29,383,016,517.56
  5. Step 5: Solve for x
    x = 29,383,016,517.56/117,561.75
  6. Step 6: Final answer
    x = 249,936.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.