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Finding the Third Proportional to 137,703 and 193,923

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Solution

The third proportional to 137,703 and 193,923 is: 273,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,703 : 193,923 = 193,923 : x
  2. Step 2: Convert to fraction form
    137,703/193,923 = 193,923/x
  3. Step 3: Cross multiply
    137,703x = 193,923 × 193,923
  4. Step 4: Simplify right side
    137,703x = 37,606,129,929
  5. Step 5: Solve for x
    x = 37,606,129,929/137,703
  6. Step 6: Final answer
    x = 273,095.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.