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Finding the Third Proportional to 68,845 and 96,943

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Solution

The third proportional to 68,845 and 96,943 is: 136,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,845 : 96,943 = 96,943 : x
  2. Step 2: Convert to fraction form
    68,845/96,943 = 96,943/x
  3. Step 3: Cross multiply
    68,845x = 96,943 × 96,943
  4. Step 4: Simplify right side
    68,845x = 9,397,945,249
  5. Step 5: Solve for x
    x = 9,397,945,249/68,845
  6. Step 6: Final answer
    x = 136,508.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.