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Finding the Third Proportional to 54,002 and 110,164

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Solution

The third proportional to 54,002 and 110,164 is: 224,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002 : 110,164 = 110,164 : x
  2. Step 2: Convert to fraction form
    54,002/110,164 = 110,164/x
  3. Step 3: Cross multiply
    54,002x = 110,164 × 110,164
  4. Step 4: Simplify right side
    54,002x = 12,136,106,896
  5. Step 5: Solve for x
    x = 12,136,106,896/54,002
  6. Step 6: Final answer
    x = 224,734.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.