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Finding the Third Proportional to 111,930 and 155,134

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Solution

The third proportional to 111,930 and 155,134 is: 215,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,930 : 155,134 = 155,134 : x
  2. Step 2: Convert to fraction form
    111,930/155,134 = 155,134/x
  3. Step 3: Cross multiply
    111,930x = 155,134 × 155,134
  4. Step 4: Simplify right side
    111,930x = 24,066,557,956
  5. Step 5: Solve for x
    x = 24,066,557,956/111,930
  6. Step 6: Final answer
    x = 215,014.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.