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Finding the Third Proportional to 62,350 and 137,824

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Solution

The third proportional to 62,350 and 137,824 is: 304,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,350 : 137,824 = 137,824 : x
  2. Step 2: Convert to fraction form
    62,350/137,824 = 137,824/x
  3. Step 3: Cross multiply
    62,350x = 137,824 × 137,824
  4. Step 4: Simplify right side
    62,350x = 18,995,454,976
  5. Step 5: Solve for x
    x = 18,995,454,976/62,350
  6. Step 6: Final answer
    x = 304,658.46

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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.