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Finding the Third Proportional to 62,744 and 137,926

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Solution

The third proportional to 62,744 and 137,926 is: 303,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,744 : 137,926 = 137,926 : x
  2. Step 2: Convert to fraction form
    62,744/137,926 = 137,926/x
  3. Step 3: Cross multiply
    62,744x = 137,926 × 137,926
  4. Step 4: Simplify right side
    62,744x = 19,023,581,476
  5. Step 5: Solve for x
    x = 19,023,581,476/62,744
  6. Step 6: Final answer
    x = 303,193.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.