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Finding the Third Proportional to 49,112 and 106,974

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Solution

The third proportional to 49,112 and 106,974 is: 233,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,112 : 106,974 = 106,974 : x
  2. Step 2: Convert to fraction form
    49,112/106,974 = 106,974/x
  3. Step 3: Cross multiply
    49,112x = 106,974 × 106,974
  4. Step 4: Simplify right side
    49,112x = 11,443,436,676
  5. Step 5: Solve for x
    x = 11,443,436,676/49,112
  6. Step 6: Final answer
    x = 233,006.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.