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Finding the Third Proportional to 54,375 and 110,287

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Solution

The third proportional to 54,375 and 110,287 is: 223,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375 : 110,287 = 110,287 : x
  2. Step 2: Convert to fraction form
    54,375/110,287 = 110,287/x
  3. Step 3: Cross multiply
    54,375x = 110,287 × 110,287
  4. Step 4: Simplify right side
    54,375x = 12,163,222,369
  5. Step 5: Solve for x
    x = 12,163,222,369/54,375
  6. Step 6: Final answer
    x = 223,691.45

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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.