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Finding the Third Proportional to 124,661 and 267,183

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Solution

The third proportional to 124,661 and 267,183 is: 572,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,661 : 267,183 = 267,183 : x
  2. Step 2: Convert to fraction form
    124,661/267,183 = 267,183/x
  3. Step 3: Cross multiply
    124,661x = 267,183 × 267,183
  4. Step 4: Simplify right side
    124,661x = 71,386,755,489
  5. Step 5: Solve for x
    x = 71,386,755,489/124,661
  6. Step 6: Final answer
    x = 572,647.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.