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Finding the Third Proportional to 119,132 and 261,972

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Solution

The third proportional to 119,132 and 261,972 is: 576,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,132 : 261,972 = 261,972 : x
  2. Step 2: Convert to fraction form
    119,132/261,972 = 261,972/x
  3. Step 3: Cross multiply
    119,132x = 261,972 × 261,972
  4. Step 4: Simplify right side
    119,132x = 68,629,328,784
  5. Step 5: Solve for x
    x = 68,629,328,784/119,132
  6. Step 6: Final answer
    x = 576,078.04

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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.