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Finding the Third Proportional to 124,194 and 269,997

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Solution

The third proportional to 124,194 and 269,997 is: 586,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,194 : 269,997 = 269,997 : x
  2. Step 2: Convert to fraction form
    124,194/269,997 = 269,997/x
  3. Step 3: Cross multiply
    124,194x = 269,997 × 269,997
  4. Step 4: Simplify right side
    124,194x = 72,898,380,009
  5. Step 5: Solve for x
    x = 72,898,380,009/124,194
  6. Step 6: Final answer
    x = 586,971.83

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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.