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Finding the Third Proportional to 43,734 and 94,164

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Solution

The third proportional to 43,734 and 94,164 is: 202,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,734 : 94,164 = 94,164 : x
  2. Step 2: Convert to fraction form
    43,734/94,164 = 94,164/x
  3. Step 3: Cross multiply
    43,734x = 94,164 × 94,164
  4. Step 4: Simplify right side
    43,734x = 8,866,858,896
  5. Step 5: Solve for x
    x = 8,866,858,896/43,734
  6. Step 6: Final answer
    x = 202,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.