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Finding the Third Proportional to 107,828 and 166,206

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Solution

The third proportional to 107,828 and 166,206 is: 256,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,828 : 166,206 = 166,206 : x
  2. Step 2: Convert to fraction form
    107,828/166,206 = 166,206/x
  3. Step 3: Cross multiply
    107,828x = 166,206 × 166,206
  4. Step 4: Simplify right side
    107,828x = 27,624,434,436
  5. Step 5: Solve for x
    x = 27,624,434,436/107,828
  6. Step 6: Final answer
    x = 256,189.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.