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Finding the Third Proportional to 85,828 and 124,302

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Solution

The third proportional to 85,828 and 124,302 is: 180,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,828 : 124,302 = 124,302 : x
  2. Step 2: Convert to fraction form
    85,828/124,302 = 124,302/x
  3. Step 3: Cross multiply
    85,828x = 124,302 × 124,302
  4. Step 4: Simplify right side
    85,828x = 15,450,987,204
  5. Step 5: Solve for x
    x = 15,450,987,204/85,828
  6. Step 6: Final answer
    x = 180,022.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.