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Finding the Third Proportional to 91,934 and 142,923

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Solution

The third proportional to 91,934 and 142,923 is: 222,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,934 : 142,923 = 142,923 : x
  2. Step 2: Convert to fraction form
    91,934/142,923 = 142,923/x
  3. Step 3: Cross multiply
    91,934x = 142,923 × 142,923
  4. Step 4: Simplify right side
    91,934x = 20,426,983,929
  5. Step 5: Solve for x
    x = 20,426,983,929/91,934
  6. Step 6: Final answer
    x = 222,191.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.