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Finding the Third Proportional to 136,716.75 and 214,035.38

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Solution

The third proportional to 136,716.75 and 214,035.38 is: 335,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,716.75 : 214,035.38 = 214,035.38 : x
  2. Step 2: Convert to fraction form
    136,716.75/214,035.38 = 214,035.38/x
  3. Step 3: Cross multiply
    136,716.75x = 214,035.38 × 214,035.38
  4. Step 4: Simplify right side
    136,716.75x = 45,811,141,751.39
  5. Step 5: Solve for x
    x = 45,811,141,751.39/136,716.75
  6. Step 6: Final answer
    x = 335,080.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.