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Finding the Third Proportional to 54,596 and 119,176

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Solution

The third proportional to 54,596 and 119,176 is: 260,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596 : 119,176 = 119,176 : x
  2. Step 2: Convert to fraction form
    54,596/119,176 = 119,176/x
  3. Step 3: Cross multiply
    54,596x = 119,176 × 119,176
  4. Step 4: Simplify right side
    54,596x = 14,202,918,976
  5. Step 5: Solve for x
    x = 14,202,918,976/54,596
  6. Step 6: Final answer
    x = 260,145.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.