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Finding the Third Proportional to 54,816 and 82,089

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Solution

The third proportional to 54,816 and 82,089 is: 122,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 82,089 = 82,089 : x
  2. Step 2: Convert to fraction form
    54,816/82,089 = 82,089/x
  3. Step 3: Cross multiply
    54,816x = 82,089 × 82,089
  4. Step 4: Simplify right side
    54,816x = 6,738,603,921
  5. Step 5: Solve for x
    x = 6,738,603,921/54,816
  6. Step 6: Final answer
    x = 122,931.33

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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.