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Finding the Third Proportional to 54,596 and 119,378

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Solution

The third proportional to 54,596 and 119,378 is: 261,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596 : 119,378 = 119,378 : x
  2. Step 2: Convert to fraction form
    54,596/119,378 = 119,378/x
  3. Step 3: Cross multiply
    54,596x = 119,378 × 119,378
  4. Step 4: Simplify right side
    54,596x = 14,251,106,884
  5. Step 5: Solve for x
    x = 14,251,106,884/54,596
  6. Step 6: Final answer
    x = 261,028.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.