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Finding the Third Proportional to 111,159 and 167,697

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Solution

The third proportional to 111,159 and 167,697 is: 252,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,159 : 167,697 = 167,697 : x
  2. Step 2: Convert to fraction form
    111,159/167,697 = 167,697/x
  3. Step 3: Cross multiply
    111,159x = 167,697 × 167,697
  4. Step 4: Simplify right side
    111,159x = 28,122,283,809
  5. Step 5: Solve for x
    x = 28,122,283,809/111,159
  6. Step 6: Final answer
    x = 252,991.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.