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Finding the Third Proportional to 114,086 and 151,404

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Solution

The third proportional to 114,086 and 151,404 is: 200,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,086 : 151,404 = 151,404 : x
  2. Step 2: Convert to fraction form
    114,086/151,404 = 151,404/x
  3. Step 3: Cross multiply
    114,086x = 151,404 × 151,404
  4. Step 4: Simplify right side
    114,086x = 22,923,171,216
  5. Step 5: Solve for x
    x = 22,923,171,216/114,086
  6. Step 6: Final answer
    x = 200,928.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.