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Finding the Third Proportional to 86,562 and 186,936

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Solution

The third proportional to 86,562 and 186,936 is: 403,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,562 : 186,936 = 186,936 : x
  2. Step 2: Convert to fraction form
    86,562/186,936 = 186,936/x
  3. Step 3: Cross multiply
    86,562x = 186,936 × 186,936
  4. Step 4: Simplify right side
    86,562x = 34,945,068,096
  5. Step 5: Solve for x
    x = 34,945,068,096/86,562
  6. Step 6: Final answer
    x = 403,699.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.