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Finding the Third Proportional to 68,847 and 101,992

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Solution

The third proportional to 68,847 and 101,992 is: 151,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,847 : 101,992 = 101,992 : x
  2. Step 2: Convert to fraction form
    68,847/101,992 = 101,992/x
  3. Step 3: Cross multiply
    68,847x = 101,992 × 101,992
  4. Step 4: Simplify right side
    68,847x = 10,402,368,064
  5. Step 5: Solve for x
    x = 10,402,368,064/68,847
  6. Step 6: Final answer
    x = 151,093.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.