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Finding the Third Proportional to 43,589 and 92,328

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Solution

The third proportional to 43,589 and 92,328 is: 195,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,589 : 92,328 = 92,328 : x
  2. Step 2: Convert to fraction form
    43,589/92,328 = 92,328/x
  3. Step 3: Cross multiply
    43,589x = 92,328 × 92,328
  4. Step 4: Simplify right side
    43,589x = 8,524,459,584
  5. Step 5: Solve for x
    x = 8,524,459,584/43,589
  6. Step 6: Final answer
    x = 195,564.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.