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Finding the Third Proportional to 81,120.50 and 173,450

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Solution

The third proportional to 81,120.50 and 173,450 is: 370,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,120.50 : 173,450 = 173,450 : x
  2. Step 2: Convert to fraction form
    81,120.50/173,450 = 173,450/x
  3. Step 3: Cross multiply
    81,120.50x = 173,450 × 173,450
  4. Step 4: Simplify right side
    81,120.50x = 30,084,902,500
  5. Step 5: Solve for x
    x = 30,084,902,500/81,120.50
  6. Step 6: Final answer
    x = 370,866.83

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