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Finding the Third Proportional to 115,960.50 and 165,381.75

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Solution

The third proportional to 115,960.50 and 165,381.75 is: 235,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,960.50 : 165,381.75 = 165,381.75 : x
  2. Step 2: Convert to fraction form
    115,960.50/165,381.75 = 165,381.75/x
  3. Step 3: Cross multiply
    115,960.50x = 165,381.75 × 165,381.75
  4. Step 4: Simplify right side
    115,960.50x = 27,351,123,233.06
  5. Step 5: Solve for x
    x = 27,351,123,233.06/115,960.50
  6. Step 6: Final answer
    x = 235,865.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.