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Finding the Third Proportional to 123,968 and 270,976

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Solution

The third proportional to 123,968 and 270,976 is: 592,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,968 : 270,976 = 270,976 : x
  2. Step 2: Convert to fraction form
    123,968/270,976 = 270,976/x
  3. Step 3: Cross multiply
    123,968x = 270,976 × 270,976
  4. Step 4: Simplify right side
    123,968x = 73,427,992,576
  5. Step 5: Solve for x
    x = 73,427,992,576/123,968
  6. Step 6: Final answer
    x = 592,314.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.