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Finding the Third Proportional to 63,227 and 136,255

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Solution

The third proportional to 63,227 and 136,255 is: 293,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,227 : 136,255 = 136,255 : x
  2. Step 2: Convert to fraction form
    63,227/136,255 = 136,255/x
  3. Step 3: Cross multiply
    63,227x = 136,255 × 136,255
  4. Step 4: Simplify right side
    63,227x = 18,565,425,025
  5. Step 5: Solve for x
    x = 18,565,425,025/63,227
  6. Step 6: Final answer
    x = 293,631.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.