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Finding the Third Proportional to 119,134.13 and 261,960.75

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Solution

The third proportional to 119,134.13 and 261,960.75 is: 576,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,134.13 : 261,960.75 = 261,960.75 : x
  2. Step 2: Convert to fraction form
    119,134.13/261,960.75 = 261,960.75/x
  3. Step 3: Cross multiply
    119,134.13x = 261,960.75 × 261,960.75
  4. Step 4: Simplify right side
    119,134.13x = 68,623,434,540.56
  5. Step 5: Solve for x
    x = 68,623,434,540.56/119,134.13
  6. Step 6: Final answer
    x = 576,018.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.