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Finding the Third Proportional to 116,896 and 167,150

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Solution

The third proportional to 116,896 and 167,150 is: 239,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896 : 167,150 = 167,150 : x
  2. Step 2: Convert to fraction form
    116,896/167,150 = 167,150/x
  3. Step 3: Cross multiply
    116,896x = 167,150 × 167,150
  4. Step 4: Simplify right side
    116,896x = 27,939,122,500
  5. Step 5: Solve for x
    x = 27,939,122,500/116,896
  6. Step 6: Final answer
    x = 239,008.37

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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.