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Finding the Third Proportional to 54,958 and 82,216

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Solution

The third proportional to 54,958 and 82,216 is: 122,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958 : 82,216 = 82,216 : x
  2. Step 2: Convert to fraction form
    54,958/82,216 = 82,216/x
  3. Step 3: Cross multiply
    54,958x = 82,216 × 82,216
  4. Step 4: Simplify right side
    54,958x = 6,759,470,656
  5. Step 5: Solve for x
    x = 6,759,470,656/54,958
  6. Step 6: Final answer
    x = 122,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.