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Finding the Third Proportional to 82,144 and 167,265

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Solution

The third proportional to 82,144 and 167,265 is: 340,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,144 : 167,265 = 167,265 : x
  2. Step 2: Convert to fraction form
    82,144/167,265 = 167,265/x
  3. Step 3: Cross multiply
    82,144x = 167,265 × 167,265
  4. Step 4: Simplify right side
    82,144x = 27,977,580,225
  5. Step 5: Solve for x
    x = 27,977,580,225/82,144
  6. Step 6: Final answer
    x = 340,591.89

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Why These Related Problems?

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