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Finding the Third Proportional to 54,273 and 117,322

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Solution

The third proportional to 54,273 and 117,322 is: 253,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,273 : 117,322 = 117,322 : x
  2. Step 2: Convert to fraction form
    54,273/117,322 = 117,322/x
  3. Step 3: Cross multiply
    54,273x = 117,322 × 117,322
  4. Step 4: Simplify right side
    54,273x = 13,764,451,684
  5. Step 5: Solve for x
    x = 13,764,451,684/54,273
  6. Step 6: Final answer
    x = 253,615.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.