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Finding the Third Proportional to 95,742 and 146,205

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Solution

The third proportional to 95,742 and 146,205 is: 223,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,742 : 146,205 = 146,205 : x
  2. Step 2: Convert to fraction form
    95,742/146,205 = 146,205/x
  3. Step 3: Cross multiply
    95,742x = 146,205 × 146,205
  4. Step 4: Simplify right side
    95,742x = 21,375,902,025
  5. Step 5: Solve for x
    x = 21,375,902,025/95,742
  6. Step 6: Final answer
    x = 223,265.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.