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Finding the Third Proportional to 54,079 and 116,479

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Solution

The third proportional to 54,079 and 116,479 is: 250,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,079 : 116,479 = 116,479 : x
  2. Step 2: Convert to fraction form
    54,079/116,479 = 116,479/x
  3. Step 3: Cross multiply
    54,079x = 116,479 × 116,479
  4. Step 4: Simplify right side
    54,079x = 13,567,357,441
  5. Step 5: Solve for x
    x = 13,567,357,441/54,079
  6. Step 6: Final answer
    x = 250,880.33

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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.