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Finding the Third Proportional to 62,774 and 137,992

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Solution

The third proportional to 62,774 and 137,992 is: 303,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,774 : 137,992 = 137,992 : x
  2. Step 2: Convert to fraction form
    62,774/137,992 = 137,992/x
  3. Step 3: Cross multiply
    62,774x = 137,992 × 137,992
  4. Step 4: Simplify right side
    62,774x = 19,041,792,064
  5. Step 5: Solve for x
    x = 19,041,792,064/62,774
  6. Step 6: Final answer
    x = 303,338.84

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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.