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Finding the Third Proportional to 90,814 and 136,345

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Solution

The third proportional to 90,814 and 136,345 is: 204,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,814 : 136,345 = 136,345 : x
  2. Step 2: Convert to fraction form
    90,814/136,345 = 136,345/x
  3. Step 3: Cross multiply
    90,814x = 136,345 × 136,345
  4. Step 4: Simplify right side
    90,814x = 18,589,959,025
  5. Step 5: Solve for x
    x = 18,589,959,025/90,814
  6. Step 6: Final answer
    x = 204,703.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.