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Finding the Third Proportional to 112,807.50 and 188,003.25

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Solution

The third proportional to 112,807.50 and 188,003.25 is: 313,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,807.50 : 188,003.25 = 188,003.25 : x
  2. Step 2: Convert to fraction form
    112,807.50/188,003.25 = 188,003.25/x
  3. Step 3: Cross multiply
    112,807.50x = 188,003.25 × 188,003.25
  4. Step 4: Simplify right side
    112,807.50x = 35,345,222,010.56
  5. Step 5: Solve for x
    x = 35,345,222,010.56/112,807.50
  6. Step 6: Final answer
    x = 313,323.33

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.