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Finding the Third Proportional to 132,414 and 170,016

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Solution

The third proportional to 132,414 and 170,016 is: 218,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 170,016 = 170,016 : x
  2. Step 2: Convert to fraction form
    132,414/170,016 = 170,016/x
  3. Step 3: Cross multiply
    132,414x = 170,016 × 170,016
  4. Step 4: Simplify right side
    132,414x = 28,905,440,256
  5. Step 5: Solve for x
    x = 28,905,440,256/132,414
  6. Step 6: Final answer
    x = 218,295.95

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.