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Finding the Third Proportional to 124,774 and 270,567

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Solution

The third proportional to 124,774 and 270,567 is: 586,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,774 : 270,567 = 270,567 : x
  2. Step 2: Convert to fraction form
    124,774/270,567 = 270,567/x
  3. Step 3: Cross multiply
    124,774x = 270,567 × 270,567
  4. Step 4: Simplify right side
    124,774x = 73,206,501,489
  5. Step 5: Solve for x
    x = 73,206,501,489/124,774
  6. Step 6: Final answer
    x = 586,712.79

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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.