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Finding the Third Proportional to 63,371 and 137,689

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Solution

The third proportional to 63,371 and 137,689 is: 299,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,371 : 137,689 = 137,689 : x
  2. Step 2: Convert to fraction form
    63,371/137,689 = 137,689/x
  3. Step 3: Cross multiply
    63,371x = 137,689 × 137,689
  4. Step 4: Simplify right side
    63,371x = 18,958,260,721
  5. Step 5: Solve for x
    x = 18,958,260,721/63,371
  6. Step 6: Final answer
    x = 299,163.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.