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Finding the Third Proportional to 127,923 and 195,797

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Solution

The third proportional to 127,923 and 195,797 is: 299,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,923 : 195,797 = 195,797 : x
  2. Step 2: Convert to fraction form
    127,923/195,797 = 195,797/x
  3. Step 3: Cross multiply
    127,923x = 195,797 × 195,797
  4. Step 4: Simplify right side
    127,923x = 38,336,465,209
  5. Step 5: Solve for x
    x = 38,336,465,209/127,923
  6. Step 6: Final answer
    x = 299,683.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.