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Finding the Third Proportional to 124,775 and 270,569

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Solution

The third proportional to 124,775 and 270,569 is: 586,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,775 : 270,569 = 270,569 : x
  2. Step 2: Convert to fraction form
    124,775/270,569 = 270,569/x
  3. Step 3: Cross multiply
    124,775x = 270,569 × 270,569
  4. Step 4: Simplify right side
    124,775x = 73,207,583,761
  5. Step 5: Solve for x
    x = 73,207,583,761/124,775
  6. Step 6: Final answer
    x = 586,716.76

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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.