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Finding the Third Proportional to 124,769.75 and 270,558.25

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Solution

The third proportional to 124,769.75 and 270,558.25 is: 586,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769.75 : 270,558.25 = 270,558.25 : x
  2. Step 2: Convert to fraction form
    124,769.75/270,558.25 = 270,558.25/x
  3. Step 3: Cross multiply
    124,769.75x = 270,558.25 × 270,558.25
  4. Step 4: Simplify right side
    124,769.75x = 73,201,766,643.06
  5. Step 5: Solve for x
    x = 73,201,766,643.06/124,769.75
  6. Step 6: Final answer
    x = 586,694.83

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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.