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Finding the Third Proportional to 134,923 and 194,923

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Solution

The third proportional to 134,923 and 194,923 is: 281,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,923 : 194,923 = 194,923 : x
  2. Step 2: Convert to fraction form
    134,923/194,923 = 194,923/x
  3. Step 3: Cross multiply
    134,923x = 194,923 × 194,923
  4. Step 4: Simplify right side
    134,923x = 37,994,975,929
  5. Step 5: Solve for x
    x = 37,994,975,929/134,923
  6. Step 6: Final answer
    x = 281,604.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.