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Finding the Third Proportional to 37,917 and 84,258

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Solution

The third proportional to 37,917 and 84,258 is: 187,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,917 : 84,258 = 84,258 : x
  2. Step 2: Convert to fraction form
    37,917/84,258 = 84,258/x
  3. Step 3: Cross multiply
    37,917x = 84,258 × 84,258
  4. Step 4: Simplify right side
    37,917x = 7,099,410,564
  5. Step 5: Solve for x
    x = 7,099,410,564/37,917
  6. Step 6: Final answer
    x = 187,235.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.