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Finding the Third Proportional to 75,997 and 117,966

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Solution

The third proportional to 75,997 and 117,966 is: 183,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997 : 117,966 = 117,966 : x
  2. Step 2: Convert to fraction form
    75,997/117,966 = 117,966/x
  3. Step 3: Cross multiply
    75,997x = 117,966 × 117,966
  4. Step 4: Simplify right side
    75,997x = 13,915,977,156
  5. Step 5: Solve for x
    x = 13,915,977,156/75,997
  6. Step 6: Final answer
    x = 183,112.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.