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Finding the Third Proportional to 68,660 and 97,997

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Solution

The third proportional to 68,660 and 97,997 is: 139,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,660 : 97,997 = 97,997 : x
  2. Step 2: Convert to fraction form
    68,660/97,997 = 97,997/x
  3. Step 3: Cross multiply
    68,660x = 97,997 × 97,997
  4. Step 4: Simplify right side
    68,660x = 9,603,412,009
  5. Step 5: Solve for x
    x = 9,603,412,009/68,660
  6. Step 6: Final answer
    x = 139,869.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.