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Finding the Third Proportional to 111,271 and 170,795

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Solution

The third proportional to 111,271 and 170,795 is: 262,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,271 : 170,795 = 170,795 : x
  2. Step 2: Convert to fraction form
    111,271/170,795 = 170,795/x
  3. Step 3: Cross multiply
    111,271x = 170,795 × 170,795
  4. Step 4: Simplify right side
    111,271x = 29,170,932,025
  5. Step 5: Solve for x
    x = 29,170,932,025/111,271
  6. Step 6: Final answer
    x = 262,161.14

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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.