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Finding the Third Proportional to 112,917 and 166,257

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Solution

The third proportional to 112,917 and 166,257 is: 244,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,917 : 166,257 = 166,257 : x
  2. Step 2: Convert to fraction form
    112,917/166,257 = 166,257/x
  3. Step 3: Cross multiply
    112,917x = 166,257 × 166,257
  4. Step 4: Simplify right side
    112,917x = 27,641,390,049
  5. Step 5: Solve for x
    x = 27,641,390,049/112,917
  6. Step 6: Final answer
    x = 244,793.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.