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Finding the Third Proportional to 137,617.38 and 193,797

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Solution

The third proportional to 137,617.38 and 193,797 is: 272,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617.38 : 193,797 = 193,797 : x
  2. Step 2: Convert to fraction form
    137,617.38/193,797 = 193,797/x
  3. Step 3: Cross multiply
    137,617.38x = 193,797 × 193,797
  4. Step 4: Simplify right side
    137,617.38x = 37,557,277,209
  5. Step 5: Solve for x
    x = 37,557,277,209/137,617.38
  6. Step 6: Final answer
    x = 272,910.87

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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.