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Finding the Third Proportional to 114,105 and 166,932

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Solution

The third proportional to 114,105 and 166,932 is: 244,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105 : 166,932 = 166,932 : x
  2. Step 2: Convert to fraction form
    114,105/166,932 = 166,932/x
  3. Step 3: Cross multiply
    114,105x = 166,932 × 166,932
  4. Step 4: Simplify right side
    114,105x = 27,866,292,624
  5. Step 5: Solve for x
    x = 27,866,292,624/114,105
  6. Step 6: Final answer
    x = 244,216.23

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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.