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Finding the Third Proportional to 82,342 and 167,600

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Solution

The third proportional to 82,342 and 167,600 is: 341,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342 : 167,600 = 167,600 : x
  2. Step 2: Convert to fraction form
    82,342/167,600 = 167,600/x
  3. Step 3: Cross multiply
    82,342x = 167,600 × 167,600
  4. Step 4: Simplify right side
    82,342x = 28,089,760,000
  5. Step 5: Solve for x
    x = 28,089,760,000/82,342
  6. Step 6: Final answer
    x = 341,135.27

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.