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Finding the Third Proportional to 43,774 and 66,180

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Solution

The third proportional to 43,774 and 66,180 is: 100,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774 : 66,180 = 66,180 : x
  2. Step 2: Convert to fraction form
    43,774/66,180 = 66,180/x
  3. Step 3: Cross multiply
    43,774x = 66,180 × 66,180
  4. Step 4: Simplify right side
    43,774x = 4,379,792,400
  5. Step 5: Solve for x
    x = 4,379,792,400/43,774
  6. Step 6: Final answer
    x = 100,054.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.