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Finding the Third Proportional to 123,087.94 and 267,183.14

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Solution

The third proportional to 123,087.94 and 267,183.14 is: 579,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,087.94 : 267,183.14 = 267,183.14 : x
  2. Step 2: Convert to fraction form
    123,087.94/267,183.14 = 267,183.14/x
  3. Step 3: Cross multiply
    123,087.94x = 267,183.14 × 267,183.14
  4. Step 4: Simplify right side
    123,087.94x = 71,386,830,634.24
  5. Step 5: Solve for x
    x = 71,386,830,634.24/123,087.94
  6. Step 6: Final answer
    x = 579,966.10

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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.