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Finding the Third Proportional to 123,975 and 268,551

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Solution

The third proportional to 123,975 and 268,551 is: 581,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,975 : 268,551 = 268,551 : x
  2. Step 2: Convert to fraction form
    123,975/268,551 = 268,551/x
  3. Step 3: Cross multiply
    123,975x = 268,551 × 268,551
  4. Step 4: Simplify right side
    123,975x = 72,119,639,601
  5. Step 5: Solve for x
    x = 72,119,639,601/123,975
  6. Step 6: Final answer
    x = 581,727.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.