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Finding the Third Proportional to 84,858.75 and 179,559

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Solution

The third proportional to 84,858.75 and 179,559 is: 379,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,858.75 : 179,559 = 179,559 : x
  2. Step 2: Convert to fraction form
    84,858.75/179,559 = 179,559/x
  3. Step 3: Cross multiply
    84,858.75x = 179,559 × 179,559
  4. Step 4: Simplify right side
    84,858.75x = 32,241,434,481
  5. Step 5: Solve for x
    x = 32,241,434,481/84,858.75
  6. Step 6: Final answer
    x = 379,942.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.