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Finding the Third Proportional to 89.75 and 191.75

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Solution

The third proportional to 89.75 and 191.75 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.75 : 191.75 = 191.75 : x
  2. Step 2: Convert to fraction form
    89.75/191.75 = 191.75/x
  3. Step 3: Cross multiply
    89.75x = 191.75 × 191.75
  4. Step 4: Simplify right side
    89.75x = 36,768.06
  5. Step 5: Solve for x
    x = 36,768.06/89.75
  6. Step 6: Final answer
    x = 409.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.