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Finding the Third Proportional to 68,008 and 97,966

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Solution

The third proportional to 68,008 and 97,966 is: 141,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,008 : 97,966 = 97,966 : x
  2. Step 2: Convert to fraction form
    68,008/97,966 = 97,966/x
  3. Step 3: Cross multiply
    68,008x = 97,966 × 97,966
  4. Step 4: Simplify right side
    68,008x = 9,597,337,156
  5. Step 5: Solve for x
    x = 9,597,337,156/68,008
  6. Step 6: Final answer
    x = 141,120.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.