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Finding the Third Proportional to 68,993 and 150,901

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Solution

The third proportional to 68,993 and 150,901 is: 330,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,993 : 150,901 = 150,901 : x
  2. Step 2: Convert to fraction form
    68,993/150,901 = 150,901/x
  3. Step 3: Cross multiply
    68,993x = 150,901 × 150,901
  4. Step 4: Simplify right side
    68,993x = 22,771,111,801
  5. Step 5: Solve for x
    x = 22,771,111,801/68,993
  6. Step 6: Final answer
    x = 330,049.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.