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Finding the Third Proportional to 63,877 and 134,375

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Solution

The third proportional to 63,877 and 134,375 is: 282,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,877 : 134,375 = 134,375 : x
  2. Step 2: Convert to fraction form
    63,877/134,375 = 134,375/x
  3. Step 3: Cross multiply
    63,877x = 134,375 × 134,375
  4. Step 4: Simplify right side
    63,877x = 18,056,640,625
  5. Step 5: Solve for x
    x = 18,056,640,625/63,877
  6. Step 6: Final answer
    x = 282,678.28

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