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Finding the Third Proportional to 124,999 and 275,012

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Solution

The third proportional to 124,999 and 275,012 is: 605,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,999 : 275,012 = 275,012 : x
  2. Step 2: Convert to fraction form
    124,999/275,012 = 275,012/x
  3. Step 3: Cross multiply
    124,999x = 275,012 × 275,012
  4. Step 4: Simplify right side
    124,999x = 75,631,600,144
  5. Step 5: Solve for x
    x = 75,631,600,144/124,999
  6. Step 6: Final answer
    x = 605,057.64

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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.