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Finding the Third Proportional to 102,168 and 151,794

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Solution

The third proportional to 102,168 and 151,794 is: 225,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168 : 151,794 = 151,794 : x
  2. Step 2: Convert to fraction form
    102,168/151,794 = 151,794/x
  3. Step 3: Cross multiply
    102,168x = 151,794 × 151,794
  4. Step 4: Simplify right side
    102,168x = 23,041,418,436
  5. Step 5: Solve for x
    x = 23,041,418,436/102,168
  6. Step 6: Final answer
    x = 225,524.81

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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.