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Finding the Third Proportional to 119,137 and 261,966

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Solution

The third proportional to 119,137 and 261,966 is: 576,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,137 : 261,966 = 261,966 : x
  2. Step 2: Convert to fraction form
    119,137/261,966 = 261,966/x
  3. Step 3: Cross multiply
    119,137x = 261,966 × 261,966
  4. Step 4: Simplify right side
    119,137x = 68,626,185,156
  5. Step 5: Solve for x
    x = 68,626,185,156/119,137
  6. Step 6: Final answer
    x = 576,027.47

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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.