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Finding the Third Proportional to 111,736.25 and 159,616.75

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Solution

The third proportional to 111,736.25 and 159,616.75 is: 228,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,736.25 : 159,616.75 = 159,616.75 : x
  2. Step 2: Convert to fraction form
    111,736.25/159,616.75 = 159,616.75/x
  3. Step 3: Cross multiply
    111,736.25x = 159,616.75 × 159,616.75
  4. Step 4: Simplify right side
    111,736.25x = 25,477,506,880.56
  5. Step 5: Solve for x
    x = 25,477,506,880.56/111,736.25
  6. Step 6: Final answer
    x = 228,014.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.