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Finding the Third Proportional to 119,652 and 259,116

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Solution

The third proportional to 119,652 and 259,116 is: 561,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652 : 259,116 = 259,116 : x
  2. Step 2: Convert to fraction form
    119,652/259,116 = 259,116/x
  3. Step 3: Cross multiply
    119,652x = 259,116 × 259,116
  4. Step 4: Simplify right side
    119,652x = 67,141,101,456
  5. Step 5: Solve for x
    x = 67,141,101,456/119,652
  6. Step 6: Final answer
    x = 561,136.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.