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Finding the Third Proportional to 55,944 and 122,256

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Solution

The third proportional to 55,944 and 122,256 is: 267,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,944 : 122,256 = 122,256 : x
  2. Step 2: Convert to fraction form
    55,944/122,256 = 122,256/x
  3. Step 3: Cross multiply
    55,944x = 122,256 × 122,256
  4. Step 4: Simplify right side
    55,944x = 14,946,529,536
  5. Step 5: Solve for x
    x = 14,946,529,536/55,944
  6. Step 6: Final answer
    x = 267,169.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.