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Finding the Third Proportional to 84,289 and 118,568

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Solution

The third proportional to 84,289 and 118,568 is: 166,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,289 : 118,568 = 118,568 : x
  2. Step 2: Convert to fraction form
    84,289/118,568 = 118,568/x
  3. Step 3: Cross multiply
    84,289x = 118,568 × 118,568
  4. Step 4: Simplify right side
    84,289x = 14,058,370,624
  5. Step 5: Solve for x
    x = 14,058,370,624/84,289
  6. Step 6: Final answer
    x = 166,787.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.