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Finding the Third Proportional to 54,274 and 117,321

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Solution

The third proportional to 54,274 and 117,321 is: 253,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,274 : 117,321 = 117,321 : x
  2. Step 2: Convert to fraction form
    54,274/117,321 = 117,321/x
  3. Step 3: Cross multiply
    54,274x = 117,321 × 117,321
  4. Step 4: Simplify right side
    54,274x = 13,764,217,041
  5. Step 5: Solve for x
    x = 13,764,217,041/54,274
  6. Step 6: Final answer
    x = 253,606.09

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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.