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Finding the Third Proportional to 100,122 and 139,977

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Solution

The third proportional to 100,122 and 139,977 is: 195,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122 : 139,977 = 139,977 : x
  2. Step 2: Convert to fraction form
    100,122/139,977 = 139,977/x
  3. Step 3: Cross multiply
    100,122x = 139,977 × 139,977
  4. Step 4: Simplify right side
    100,122x = 19,593,560,529
  5. Step 5: Solve for x
    x = 19,593,560,529/100,122
  6. Step 6: Final answer
    x = 195,696.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.