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Finding the Third Proportional to 126,176 and 277,954

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Solution

The third proportional to 126,176 and 277,954 is: 612,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,176 : 277,954 = 277,954 : x
  2. Step 2: Convert to fraction form
    126,176/277,954 = 277,954/x
  3. Step 3: Cross multiply
    126,176x = 277,954 × 277,954
  4. Step 4: Simplify right side
    126,176x = 77,258,426,116
  5. Step 5: Solve for x
    x = 77,258,426,116/126,176
  6. Step 6: Final answer
    x = 612,306.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.