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Finding the Third Proportional to 113,891.63 and 174,286.69

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Solution

The third proportional to 113,891.63 and 174,286.69 is: 266,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,891.63 : 174,286.69 = 174,286.69 : x
  2. Step 2: Convert to fraction form
    113,891.63/174,286.69 = 174,286.69/x
  3. Step 3: Cross multiply
    113,891.63x = 174,286.69 × 174,286.69
  4. Step 4: Simplify right side
    113,891.63x = 30,375,849,439.72
  5. Step 5: Solve for x
    x = 30,375,849,439.72/113,891.63
  6. Step 6: Final answer
    x = 266,708.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.