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Finding the Third Proportional to 132,941 and 204,336

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Solution

The third proportional to 132,941 and 204,336 is: 314,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,941 : 204,336 = 204,336 : x
  2. Step 2: Convert to fraction form
    132,941/204,336 = 204,336/x
  3. Step 3: Cross multiply
    132,941x = 204,336 × 204,336
  4. Step 4: Simplify right side
    132,941x = 41,753,200,896
  5. Step 5: Solve for x
    x = 41,753,200,896/132,941
  6. Step 6: Final answer
    x = 314,073.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.