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Finding the Third Proportional to 97,198 and 149,935

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Solution

The third proportional to 97,198 and 149,935 is: 231,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,198 : 149,935 = 149,935 : x
  2. Step 2: Convert to fraction form
    97,198/149,935 = 149,935/x
  3. Step 3: Cross multiply
    97,198x = 149,935 × 149,935
  4. Step 4: Simplify right side
    97,198x = 22,480,504,225
  5. Step 5: Solve for x
    x = 22,480,504,225/97,198
  6. Step 6: Final answer
    x = 231,285.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.