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Finding the Third Proportional to 79,896 and 122,268

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Solution

The third proportional to 79,896 and 122,268 is: 187,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,896 : 122,268 = 122,268 : x
  2. Step 2: Convert to fraction form
    79,896/122,268 = 122,268/x
  3. Step 3: Cross multiply
    79,896x = 122,268 × 122,268
  4. Step 4: Simplify right side
    79,896x = 14,949,463,824
  5. Step 5: Solve for x
    x = 14,949,463,824/79,896
  6. Step 6: Final answer
    x = 187,111.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.