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Finding the Third Proportional to 25,214 and 54,277

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Solution

The third proportional to 25,214 and 54,277 is: 116,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214 : 54,277 = 54,277 : x
  2. Step 2: Convert to fraction form
    25,214/54,277 = 54,277/x
  3. Step 3: Cross multiply
    25,214x = 54,277 × 54,277
  4. Step 4: Simplify right side
    25,214x = 2,945,992,729
  5. Step 5: Solve for x
    x = 2,945,992,729/25,214
  6. Step 6: Final answer
    x = 116,839.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.