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Finding the Third Proportional to 117,591.75 and 171,456.75

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Solution

The third proportional to 117,591.75 and 171,456.75 is: 249,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,591.75 : 171,456.75 = 171,456.75 : x
  2. Step 2: Convert to fraction form
    117,591.75/171,456.75 = 171,456.75/x
  3. Step 3: Cross multiply
    117,591.75x = 171,456.75 × 171,456.75
  4. Step 4: Simplify right side
    117,591.75x = 29,397,417,120.56
  5. Step 5: Solve for x
    x = 29,397,417,120.56/117,591.75
  6. Step 6: Final answer
    x = 249,995.57

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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.