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Finding the Third Proportional to 68,422 and 96,009

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Solution

The third proportional to 68,422 and 96,009 is: 134,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,422 : 96,009 = 96,009 : x
  2. Step 2: Convert to fraction form
    68,422/96,009 = 96,009/x
  3. Step 3: Cross multiply
    68,422x = 96,009 × 96,009
  4. Step 4: Simplify right side
    68,422x = 9,217,728,081
  5. Step 5: Solve for x
    x = 9,217,728,081/68,422
  6. Step 6: Final answer
    x = 134,718.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.