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Finding the Third Proportional to 124,774 and 270,568

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Solution

The third proportional to 124,774 and 270,568 is: 586,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,774 : 270,568 = 270,568 : x
  2. Step 2: Convert to fraction form
    124,774/270,568 = 270,568/x
  3. Step 3: Cross multiply
    124,774x = 270,568 × 270,568
  4. Step 4: Simplify right side
    124,774x = 73,207,042,624
  5. Step 5: Solve for x
    x = 73,207,042,624/124,774
  6. Step 6: Final answer
    x = 586,717.13

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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.