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Finding the Third Proportional to 89,674 and 135,184

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Solution

The third proportional to 89,674 and 135,184 is: 203,790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,674 : 135,184 = 135,184 : x
  2. Step 2: Convert to fraction form
    89,674/135,184 = 135,184/x
  3. Step 3: Cross multiply
    89,674x = 135,184 × 135,184
  4. Step 4: Simplify right side
    89,674x = 18,274,713,856
  5. Step 5: Solve for x
    x = 18,274,713,856/89,674
  6. Step 6: Final answer
    x = 203,790.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.