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Finding the Third Proportional to 123,055 and 268,886

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Solution

The third proportional to 123,055 and 268,886 is: 587,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,055 : 268,886 = 268,886 : x
  2. Step 2: Convert to fraction form
    123,055/268,886 = 268,886/x
  3. Step 3: Cross multiply
    123,055x = 268,886 × 268,886
  4. Step 4: Simplify right side
    123,055x = 72,299,680,996
  5. Step 5: Solve for x
    x = 72,299,680,996/123,055
  6. Step 6: Final answer
    x = 587,539.56

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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.