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Finding the Third Proportional to 84,096 and 181,926

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Solution

The third proportional to 84,096 and 181,926 is: 393,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096 : 181,926 = 181,926 : x
  2. Step 2: Convert to fraction form
    84,096/181,926 = 181,926/x
  3. Step 3: Cross multiply
    84,096x = 181,926 × 181,926
  4. Step 4: Simplify right side
    84,096x = 33,097,069,476
  5. Step 5: Solve for x
    x = 33,097,069,476/84,096
  6. Step 6: Final answer
    x = 393,562.95

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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.