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Finding the Third Proportional to 63,837 and 137,283

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Solution

The third proportional to 63,837 and 137,283 is: 295,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,837 : 137,283 = 137,283 : x
  2. Step 2: Convert to fraction form
    63,837/137,283 = 137,283/x
  3. Step 3: Cross multiply
    63,837x = 137,283 × 137,283
  4. Step 4: Simplify right side
    63,837x = 18,846,622,089
  5. Step 5: Solve for x
    x = 18,846,622,089/63,837
  6. Step 6: Final answer
    x = 295,230.39

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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.