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Finding the Third Proportional to 50,537.25 and 109,485

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Solution

The third proportional to 50,537.25 and 109,485 is: 237,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.25 : 109,485 = 109,485 : x
  2. Step 2: Convert to fraction form
    50,537.25/109,485 = 109,485/x
  3. Step 3: Cross multiply
    50,537.25x = 109,485 × 109,485
  4. Step 4: Simplify right side
    50,537.25x = 11,986,965,225
  5. Step 5: Solve for x
    x = 11,986,965,225/50,537.25
  6. Step 6: Final answer
    x = 237,190.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.