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Finding the Third Proportional to 123,986 and 270,085

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Solution

The third proportional to 123,986 and 270,085 is: 588,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,986 : 270,085 = 270,085 : x
  2. Step 2: Convert to fraction form
    123,986/270,085 = 270,085/x
  3. Step 3: Cross multiply
    123,986x = 270,085 × 270,085
  4. Step 4: Simplify right side
    123,986x = 72,945,907,225
  5. Step 5: Solve for x
    x = 72,945,907,225/123,986
  6. Step 6: Final answer
    x = 588,339.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.