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Finding the Third Proportional to 62,847 and 132,157

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Solution

The third proportional to 62,847 and 132,157 is: 277,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,847 : 132,157 = 132,157 : x
  2. Step 2: Convert to fraction form
    62,847/132,157 = 132,157/x
  3. Step 3: Cross multiply
    62,847x = 132,157 × 132,157
  4. Step 4: Simplify right side
    62,847x = 17,465,472,649
  5. Step 5: Solve for x
    x = 17,465,472,649/62,847
  6. Step 6: Final answer
    x = 277,904.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.