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Finding the Third Proportional to 68,993 and 101,218

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Solution

The third proportional to 68,993 and 101,218 is: 148,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,993 : 101,218 = 101,218 : x
  2. Step 2: Convert to fraction form
    68,993/101,218 = 101,218/x
  3. Step 3: Cross multiply
    68,993x = 101,218 × 101,218
  4. Step 4: Simplify right side
    68,993x = 10,245,083,524
  5. Step 5: Solve for x
    x = 10,245,083,524/68,993
  6. Step 6: Final answer
    x = 148,494.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.