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Finding the Third Proportional to 41,574.94 and 91,197.94

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Solution

The third proportional to 41,574.94 and 91,197.94 is: 200,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574.94 : 91,197.94 = 91,197.94 : x
  2. Step 2: Convert to fraction form
    41,574.94/91,197.94 = 91,197.94/x
  3. Step 3: Cross multiply
    41,574.94x = 91,197.94 × 91,197.94
  4. Step 4: Simplify right side
    41,574.94x = 8,317,063,804.25
  5. Step 5: Solve for x
    x = 8,317,063,804.25/41,574.94
  6. Step 6: Final answer
    x = 200,049.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.