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Finding the Third Proportional to 62,337 and 137,799

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Solution

The third proportional to 62,337 and 137,799 is: 304,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,337 : 137,799 = 137,799 : x
  2. Step 2: Convert to fraction form
    62,337/137,799 = 137,799/x
  3. Step 3: Cross multiply
    62,337x = 137,799 × 137,799
  4. Step 4: Simplify right side
    62,337x = 18,988,564,401
  5. Step 5: Solve for x
    x = 18,988,564,401/62,337
  6. Step 6: Final answer
    x = 304,611.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.