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Finding the Third Proportional to 89,774 and 132,926

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Solution

The third proportional to 89,774 and 132,926 is: 196,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,774 : 132,926 = 132,926 : x
  2. Step 2: Convert to fraction form
    89,774/132,926 = 132,926/x
  3. Step 3: Cross multiply
    89,774x = 132,926 × 132,926
  4. Step 4: Simplify right side
    89,774x = 17,669,321,476
  5. Step 5: Solve for x
    x = 17,669,321,476/89,774
  6. Step 6: Final answer
    x = 196,820.03

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.