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Finding the Third Proportional to 111,910.50 and 173,538.50

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Solution

The third proportional to 111,910.50 and 173,538.50 is: 269,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,910.50 : 173,538.50 = 173,538.50 : x
  2. Step 2: Convert to fraction form
    111,910.50/173,538.50 = 173,538.50/x
  3. Step 3: Cross multiply
    111,910.50x = 173,538.50 × 173,538.50
  4. Step 4: Simplify right side
    111,910.50x = 30,115,610,982.25
  5. Step 5: Solve for x
    x = 30,115,610,982.25/111,910.50
  6. Step 6: Final answer
    x = 269,104.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.