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Finding the Third Proportional to 81,798 and 167,036

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Solution

The third proportional to 81,798 and 167,036 is: 341,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,798 : 167,036 = 167,036 : x
  2. Step 2: Convert to fraction form
    81,798/167,036 = 167,036/x
  3. Step 3: Cross multiply
    81,798x = 167,036 × 167,036
  4. Step 4: Simplify right side
    81,798x = 27,901,025,296
  5. Step 5: Solve for x
    x = 27,901,025,296/81,798
  6. Step 6: Final answer
    x = 341,096.67

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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.