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Finding the Third Proportional to 139,110.75 and 188,956.13

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Solution

The third proportional to 139,110.75 and 188,956.13 is: 256,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,110.75 : 188,956.13 = 188,956.13 : x
  2. Step 2: Convert to fraction form
    139,110.75/188,956.13 = 188,956.13/x
  3. Step 3: Cross multiply
    139,110.75x = 188,956.13 × 188,956.13
  4. Step 4: Simplify right side
    139,110.75x = 35,704,417,175.02
  5. Step 5: Solve for x
    x = 35,704,417,175.02/139,110.75
  6. Step 6: Final answer
    x = 256,661.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.