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Finding the Third Proportional to 63,877 and 134,367

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Solution

The third proportional to 63,877 and 134,367 is: 282,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,877 : 134,367 = 134,367 : x
  2. Step 2: Convert to fraction form
    63,877/134,367 = 134,367/x
  3. Step 3: Cross multiply
    63,877x = 134,367 × 134,367
  4. Step 4: Simplify right side
    63,877x = 18,054,490,689
  5. Step 5: Solve for x
    x = 18,054,490,689/63,877
  6. Step 6: Final answer
    x = 282,644.62

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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.