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Finding the Third Proportional to 43,165.50 and 92,325

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Solution

The third proportional to 43,165.50 and 92,325 is: 197,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,165.50 : 92,325 = 92,325 : x
  2. Step 2: Convert to fraction form
    43,165.50/92,325 = 92,325/x
  3. Step 3: Cross multiply
    43,165.50x = 92,325 × 92,325
  4. Step 4: Simplify right side
    43,165.50x = 8,523,905,625
  5. Step 5: Solve for x
    x = 8,523,905,625/43,165.50
  6. Step 6: Final answer
    x = 197,470.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.