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Finding the Third Proportional to 114,198 and 173,993

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Solution

The third proportional to 114,198 and 173,993 is: 265,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,198 : 173,993 = 173,993 : x
  2. Step 2: Convert to fraction form
    114,198/173,993 = 173,993/x
  3. Step 3: Cross multiply
    114,198x = 173,993 × 173,993
  4. Step 4: Simplify right side
    114,198x = 30,273,564,049
  5. Step 5: Solve for x
    x = 30,273,564,049/114,198
  6. Step 6: Final answer
    x = 265,097.15

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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.