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Finding the Third Proportional to 117,976.50 and 155,163.09

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Solution

The third proportional to 117,976.50 and 155,163.09 is: 204,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976.50 : 155,163.09 = 155,163.09 : x
  2. Step 2: Convert to fraction form
    117,976.50/155,163.09 = 155,163.09/x
  3. Step 3: Cross multiply
    117,976.50x = 155,163.09 × 155,163.09
  4. Step 4: Simplify right side
    117,976.50x = 24,075,585,662.07
  5. Step 5: Solve for x
    x = 24,075,585,662.07/117,976.50
  6. Step 6: Final answer
    x = 204,071.03

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.