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Finding the Third Proportional to 54,238 and 79,694

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Solution

The third proportional to 54,238 and 79,694 is: 117,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238 : 79,694 = 79,694 : x
  2. Step 2: Convert to fraction form
    54,238/79,694 = 79,694/x
  3. Step 3: Cross multiply
    54,238x = 79,694 × 79,694
  4. Step 4: Simplify right side
    54,238x = 6,351,133,636
  5. Step 5: Solve for x
    x = 6,351,133,636/54,238
  6. Step 6: Final answer
    x = 117,097.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.