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Finding the Third Proportional to 114,906 and 171,668

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Solution

The third proportional to 114,906 and 171,668 is: 256,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,906 : 171,668 = 171,668 : x
  2. Step 2: Convert to fraction form
    114,906/171,668 = 171,668/x
  3. Step 3: Cross multiply
    114,906x = 171,668 × 171,668
  4. Step 4: Simplify right side
    114,906x = 29,469,902,224
  5. Step 5: Solve for x
    x = 29,469,902,224/114,906
  6. Step 6: Final answer
    x = 256,469.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.