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Finding the Third Proportional to 49,077 and 106,497

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Solution

The third proportional to 49,077 and 106,497 is: 231,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077 : 106,497 = 106,497 : x
  2. Step 2: Convert to fraction form
    49,077/106,497 = 106,497/x
  3. Step 3: Cross multiply
    49,077x = 106,497 × 106,497
  4. Step 4: Simplify right side
    49,077x = 11,341,611,009
  5. Step 5: Solve for x
    x = 11,341,611,009/49,077
  6. Step 6: Final answer
    x = 231,098.29

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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.