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Finding the Third Proportional to 101,212 and 151,268

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Solution

The third proportional to 101,212 and 151,268 is: 226,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,212 : 151,268 = 151,268 : x
  2. Step 2: Convert to fraction form
    101,212/151,268 = 151,268/x
  3. Step 3: Cross multiply
    101,212x = 151,268 × 151,268
  4. Step 4: Simplify right side
    101,212x = 22,882,007,824
  5. Step 5: Solve for x
    x = 22,882,007,824/101,212
  6. Step 6: Final answer
    x = 226,079.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.