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Finding the Third Proportional to 81,796 and 167,032

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Solution

The third proportional to 81,796 and 167,032 is: 341,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796 : 167,032 = 167,032 : x
  2. Step 2: Convert to fraction form
    81,796/167,032 = 167,032/x
  3. Step 3: Cross multiply
    81,796x = 167,032 × 167,032
  4. Step 4: Simplify right side
    81,796x = 27,899,689,024
  5. Step 5: Solve for x
    x = 27,899,689,024/81,796
  6. Step 6: Final answer
    x = 341,088.67

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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.