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Finding the Third Proportional to 54,392 and 110,314

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Solution

The third proportional to 54,392 and 110,314 is: 223,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,392 : 110,314 = 110,314 : x
  2. Step 2: Convert to fraction form
    54,392/110,314 = 110,314/x
  3. Step 3: Cross multiply
    54,392x = 110,314 × 110,314
  4. Step 4: Simplify right side
    54,392x = 12,169,178,596
  5. Step 5: Solve for x
    x = 12,169,178,596/54,392
  6. Step 6: Final answer
    x = 223,731.04

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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.