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Finding the Third Proportional to 63,027 and 134,397

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Solution

The third proportional to 63,027 and 134,397 is: 286,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,027 : 134,397 = 134,397 : x
  2. Step 2: Convert to fraction form
    63,027/134,397 = 134,397/x
  3. Step 3: Cross multiply
    63,027x = 134,397 × 134,397
  4. Step 4: Simplify right side
    63,027x = 18,062,553,609
  5. Step 5: Solve for x
    x = 18,062,553,609/63,027
  6. Step 6: Final answer
    x = 286,584.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.