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Finding the Third Proportional to 100,825 and 154,763

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Solution

The third proportional to 100,825 and 154,763 is: 237,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825 : 154,763 = 154,763 : x
  2. Step 2: Convert to fraction form
    100,825/154,763 = 154,763/x
  3. Step 3: Cross multiply
    100,825x = 154,763 × 154,763
  4. Step 4: Simplify right side
    100,825x = 23,951,586,169
  5. Step 5: Solve for x
    x = 23,951,586,169/100,825
  6. Step 6: Final answer
    x = 237,556.02

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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.