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Finding the Third Proportional to 49,223 and 106,681

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Solution

The third proportional to 49,223 and 106,681 is: 231,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223 : 106,681 = 106,681 : x
  2. Step 2: Convert to fraction form
    49,223/106,681 = 106,681/x
  3. Step 3: Cross multiply
    49,223x = 106,681 × 106,681
  4. Step 4: Simplify right side
    49,223x = 11,380,835,761
  5. Step 5: Solve for x
    x = 11,380,835,761/49,223
  6. Step 6: Final answer
    x = 231,209.71

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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.