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Finding the Third Proportional to 54,364 and 110,188

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Solution

The third proportional to 54,364 and 110,188 is: 223,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,364 : 110,188 = 110,188 : x
  2. Step 2: Convert to fraction form
    54,364/110,188 = 110,188/x
  3. Step 3: Cross multiply
    54,364x = 110,188 × 110,188
  4. Step 4: Simplify right side
    54,364x = 12,141,395,344
  5. Step 5: Solve for x
    x = 12,141,395,344/54,364
  6. Step 6: Final answer
    x = 223,335.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.