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Finding the Third Proportional to 127,936 and 200,686

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Solution

The third proportional to 127,936 and 200,686 is: 314,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,936 : 200,686 = 200,686 : x
  2. Step 2: Convert to fraction form
    127,936/200,686 = 200,686/x
  3. Step 3: Cross multiply
    127,936x = 200,686 × 200,686
  4. Step 4: Simplify right side
    127,936x = 40,274,870,596
  5. Step 5: Solve for x
    x = 40,274,870,596/127,936
  6. Step 6: Final answer
    x = 314,804.83

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