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Finding the Third Proportional to 124,861 and 275,172

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Solution

The third proportional to 124,861 and 275,172 is: 606,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,861 : 275,172 = 275,172 : x
  2. Step 2: Convert to fraction form
    124,861/275,172 = 275,172/x
  3. Step 3: Cross multiply
    124,861x = 275,172 × 275,172
  4. Step 4: Simplify right side
    124,861x = 75,719,629,584
  5. Step 5: Solve for x
    x = 75,719,629,584/124,861
  6. Step 6: Final answer
    x = 606,431.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.