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Finding the Third Proportional to 63,256 and 136,286

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Solution

The third proportional to 63,256 and 136,286 is: 293,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,256 : 136,286 = 136,286 : x
  2. Step 2: Convert to fraction form
    63,256/136,286 = 136,286/x
  3. Step 3: Cross multiply
    63,256x = 136,286 × 136,286
  4. Step 4: Simplify right side
    63,256x = 18,573,873,796
  5. Step 5: Solve for x
    x = 18,573,873,796/63,256
  6. Step 6: Final answer
    x = 293,630.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.