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Finding the Third Proportional to 124,993 and 274,997

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Solution

The third proportional to 124,993 and 274,997 is: 605,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,993 : 274,997 = 274,997 : x
  2. Step 2: Convert to fraction form
    124,993/274,997 = 274,997/x
  3. Step 3: Cross multiply
    124,993x = 274,997 × 274,997
  4. Step 4: Simplify right side
    124,993x = 75,623,350,009
  5. Step 5: Solve for x
    x = 75,623,350,009/124,993
  6. Step 6: Final answer
    x = 605,020.68

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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.