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Finding the Third Proportional to 113,525.44 and 178,107.75

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Solution

The third proportional to 113,525.44 and 178,107.75 is: 279,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,525.44 : 178,107.75 = 178,107.75 : x
  2. Step 2: Convert to fraction form
    113,525.44/178,107.75 = 178,107.75/x
  3. Step 3: Cross multiply
    113,525.44x = 178,107.75 × 178,107.75
  4. Step 4: Simplify right side
    113,525.44x = 31,722,370,610.06
  5. Step 5: Solve for x
    x = 31,722,370,610.06/113,525.44
  6. Step 6: Final answer
    x = 279,429.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.