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Finding the Third Proportional to 54,370 and 110,274

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Solution

The third proportional to 54,370 and 110,274 is: 223,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,370 : 110,274 = 110,274 : x
  2. Step 2: Convert to fraction form
    54,370/110,274 = 110,274/x
  3. Step 3: Cross multiply
    54,370x = 110,274 × 110,274
  4. Step 4: Simplify right side
    54,370x = 12,160,355,076
  5. Step 5: Solve for x
    x = 12,160,355,076/54,370
  6. Step 6: Final answer
    x = 223,659.28

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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.