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Finding the Third Proportional to 106,464 and 166,932

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Solution

The third proportional to 106,464 and 166,932 is: 261,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464 : 166,932 = 166,932 : x
  2. Step 2: Convert to fraction form
    106,464/166,932 = 166,932/x
  3. Step 3: Cross multiply
    106,464x = 166,932 × 166,932
  4. Step 4: Simplify right side
    106,464x = 27,866,292,624
  5. Step 5: Solve for x
    x = 27,866,292,624/106,464
  6. Step 6: Final answer
    x = 261,743.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.