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Finding the Third Proportional to 123,960 and 270,960

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Solution

The third proportional to 123,960 and 270,960 is: 592,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,960 : 270,960 = 270,960 : x
  2. Step 2: Convert to fraction form
    123,960/270,960 = 270,960/x
  3. Step 3: Cross multiply
    123,960x = 270,960 × 270,960
  4. Step 4: Simplify right side
    123,960x = 73,419,321,600
  5. Step 5: Solve for x
    x = 73,419,321,600/123,960
  6. Step 6: Final answer
    x = 592,282.36

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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.