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Finding the Third Proportional to 123,104 and 267,808

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Solution

The third proportional to 123,104 and 267,808 is: 582,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,104 : 267,808 = 267,808 : x
  2. Step 2: Convert to fraction form
    123,104/267,808 = 267,808/x
  3. Step 3: Cross multiply
    123,104x = 267,808 × 267,808
  4. Step 4: Simplify right side
    123,104x = 71,721,124,864
  5. Step 5: Solve for x
    x = 71,721,124,864/123,104
  6. Step 6: Final answer
    x = 582,605.97

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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.