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Finding the Third Proportional to 114,204 and 170,676

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Solution

The third proportional to 114,204 and 170,676 is: 255,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,204 : 170,676 = 170,676 : x
  2. Step 2: Convert to fraction form
    114,204/170,676 = 170,676/x
  3. Step 3: Cross multiply
    114,204x = 170,676 × 170,676
  4. Step 4: Simplify right side
    114,204x = 29,130,296,976
  5. Step 5: Solve for x
    x = 29,130,296,976/114,204
  6. Step 6: Final answer
    x = 255,072.48

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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.