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Finding the Third Proportional to 106,911 and 166,923

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Solution

The third proportional to 106,911 and 166,923 is: 260,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911 : 166,923 = 166,923 : x
  2. Step 2: Convert to fraction form
    106,911/166,923 = 166,923/x
  3. Step 3: Cross multiply
    106,911x = 166,923 × 166,923
  4. Step 4: Simplify right side
    106,911x = 27,863,287,929
  5. Step 5: Solve for x
    x = 27,863,287,929/106,911
  6. Step 6: Final answer
    x = 260,621.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.