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Finding the Third Proportional to 68,811 and 96,902

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Solution

The third proportional to 68,811 and 96,902 is: 136,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811 : 96,902 = 96,902 : x
  2. Step 2: Convert to fraction form
    68,811/96,902 = 96,902/x
  3. Step 3: Cross multiply
    68,811x = 96,902 × 96,902
  4. Step 4: Simplify right side
    68,811x = 9,389,997,604
  5. Step 5: Solve for x
    x = 9,389,997,604/68,811
  6. Step 6: Final answer
    x = 136,460.71

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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.