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Finding the Third Proportional to 114,823 and 167,697

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Solution

The third proportional to 114,823 and 167,697 is: 244,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,823 : 167,697 = 167,697 : x
  2. Step 2: Convert to fraction form
    114,823/167,697 = 167,697/x
  3. Step 3: Cross multiply
    114,823x = 167,697 × 167,697
  4. Step 4: Simplify right side
    114,823x = 28,122,283,809
  5. Step 5: Solve for x
    x = 28,122,283,809/114,823
  6. Step 6: Final answer
    x = 244,918.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.