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Finding the Third Proportional to 123,996 and 270,135

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Solution

The third proportional to 123,996 and 270,135 is: 588,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,996 : 270,135 = 270,135 : x
  2. Step 2: Convert to fraction form
    123,996/270,135 = 270,135/x
  3. Step 3: Cross multiply
    123,996x = 270,135 × 270,135
  4. Step 4: Simplify right side
    123,996x = 72,972,918,225
  5. Step 5: Solve for x
    x = 72,972,918,225/123,996
  6. Step 6: Final answer
    x = 588,510.26

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Why These Related Problems?

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