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Finding the Third Proportional to 124,968 and 269,892

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Solution

The third proportional to 124,968 and 269,892 is: 582,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,968 : 269,892 = 269,892 : x
  2. Step 2: Convert to fraction form
    124,968/269,892 = 269,892/x
  3. Step 3: Cross multiply
    124,968x = 269,892 × 269,892
  4. Step 4: Simplify right side
    124,968x = 72,841,691,664
  5. Step 5: Solve for x
    x = 72,841,691,664/124,968
  6. Step 6: Final answer
    x = 582,882.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.