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Finding the Third Proportional to 111,525.75 and 179,574.75

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Solution

The third proportional to 111,525.75 and 179,574.75 is: 289,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,525.75 : 179,574.75 = 179,574.75 : x
  2. Step 2: Convert to fraction form
    111,525.75/179,574.75 = 179,574.75/x
  3. Step 3: Cross multiply
    111,525.75x = 179,574.75 × 179,574.75
  4. Step 4: Simplify right side
    111,525.75x = 32,247,090,837.56
  5. Step 5: Solve for x
    x = 32,247,090,837.56/111,525.75
  6. Step 6: Final answer
    x = 289,144.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.