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Finding the Third Proportional to 49,293 and 106,890

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Solution

The third proportional to 49,293 and 106,890 is: 231,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,293 : 106,890 = 106,890 : x
  2. Step 2: Convert to fraction form
    49,293/106,890 = 106,890/x
  3. Step 3: Cross multiply
    49,293x = 106,890 × 106,890
  4. Step 4: Simplify right side
    49,293x = 11,425,472,100
  5. Step 5: Solve for x
    x = 11,425,472,100/49,293
  6. Step 6: Final answer
    x = 231,786.91

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