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Finding the Third Proportional to 86,457 and 177,183

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Solution

The third proportional to 86,457 and 177,183 is: 363,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457 : 177,183 = 177,183 : x
  2. Step 2: Convert to fraction form
    86,457/177,183 = 177,183/x
  3. Step 3: Cross multiply
    86,457x = 177,183 × 177,183
  4. Step 4: Simplify right side
    86,457x = 31,393,815,489
  5. Step 5: Solve for x
    x = 31,393,815,489/86,457
  6. Step 6: Final answer
    x = 363,114.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.