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Finding the Third Proportional to 132,414 and 205,161

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Solution

The third proportional to 132,414 and 205,161 is: 317,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 205,161 = 205,161 : x
  2. Step 2: Convert to fraction form
    132,414/205,161 = 205,161/x
  3. Step 3: Cross multiply
    132,414x = 205,161 × 205,161
  4. Step 4: Simplify right side
    132,414x = 42,091,035,921
  5. Step 5: Solve for x
    x = 42,091,035,921/132,414
  6. Step 6: Final answer
    x = 317,874.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.