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Finding the Third Proportional to 54,820 and 82,009

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Solution

The third proportional to 54,820 and 82,009 is: 122,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,820 : 82,009 = 82,009 : x
  2. Step 2: Convert to fraction form
    54,820/82,009 = 82,009/x
  3. Step 3: Cross multiply
    54,820x = 82,009 × 82,009
  4. Step 4: Simplify right side
    54,820x = 6,725,476,081
  5. Step 5: Solve for x
    x = 6,725,476,081/54,820
  6. Step 6: Final answer
    x = 122,682.89

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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.