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Finding the Third Proportional to 111,727.50 and 156,284.75

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Solution

The third proportional to 111,727.50 and 156,284.75 is: 218,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,727.50 : 156,284.75 = 156,284.75 : x
  2. Step 2: Convert to fraction form
    111,727.50/156,284.75 = 156,284.75/x
  3. Step 3: Cross multiply
    111,727.50x = 156,284.75 × 156,284.75
  4. Step 4: Simplify right side
    111,727.50x = 24,424,923,082.56
  5. Step 5: Solve for x
    x = 24,424,923,082.56/111,727.50
  6. Step 6: Final answer
    x = 218,611.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.