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Finding the Third Proportional to 43,120 and 88,592

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Solution

The third proportional to 43,120 and 88,592 is: 182,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,120 : 88,592 = 88,592 : x
  2. Step 2: Convert to fraction form
    43,120/88,592 = 88,592/x
  3. Step 3: Cross multiply
    43,120x = 88,592 × 88,592
  4. Step 4: Simplify right side
    43,120x = 7,848,542,464
  5. Step 5: Solve for x
    x = 7,848,542,464/43,120
  6. Step 6: Final answer
    x = 182,016.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.