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Finding the Third Proportional to 116,885.25 and 167,142.38

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Solution

The third proportional to 116,885.25 and 167,142.38 is: 239,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,885.25 : 167,142.38 = 167,142.38 : x
  2. Step 2: Convert to fraction form
    116,885.25/167,142.38 = 167,142.38/x
  3. Step 3: Cross multiply
    116,885.25x = 167,142.38 × 167,142.38
  4. Step 4: Simplify right side
    116,885.25x = 27,936,573,520.64
  5. Step 5: Solve for x
    x = 27,936,573,520.64/116,885.25
  6. Step 6: Final answer
    x = 239,008.54

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