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Finding the Third Proportional to 63,017 and 137,589

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Solution

The third proportional to 63,017 and 137,589 is: 300,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,017 : 137,589 = 137,589 : x
  2. Step 2: Convert to fraction form
    63,017/137,589 = 137,589/x
  3. Step 3: Cross multiply
    63,017x = 137,589 × 137,589
  4. Step 4: Simplify right side
    63,017x = 18,930,732,921
  5. Step 5: Solve for x
    x = 18,930,732,921/63,017
  6. Step 6: Final answer
    x = 300,406.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.