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Finding the Third Proportional to 86,057 and 123,947

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Solution

The third proportional to 86,057 and 123,947 is: 178,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,057 : 123,947 = 123,947 : x
  2. Step 2: Convert to fraction form
    86,057/123,947 = 123,947/x
  3. Step 3: Cross multiply
    86,057x = 123,947 × 123,947
  4. Step 4: Simplify right side
    86,057x = 15,362,858,809
  5. Step 5: Solve for x
    x = 15,362,858,809/86,057
  6. Step 6: Final answer
    x = 178,519.57

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.