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Finding the Third Proportional to 115,951.50 and 176,361.75

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Solution

The third proportional to 115,951.50 and 176,361.75 is: 268,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,951.50 : 176,361.75 = 176,361.75 : x
  2. Step 2: Convert to fraction form
    115,951.50/176,361.75 = 176,361.75/x
  3. Step 3: Cross multiply
    115,951.50x = 176,361.75 × 176,361.75
  4. Step 4: Simplify right side
    115,951.50x = 31,103,466,863.06
  5. Step 5: Solve for x
    x = 31,103,466,863.06/115,951.50
  6. Step 6: Final answer
    x = 268,245.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.