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Finding the Third Proportional to 80,362 and 175,012

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Solution

The third proportional to 80,362 and 175,012 is: 381,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,362 : 175,012 = 175,012 : x
  2. Step 2: Convert to fraction form
    80,362/175,012 = 175,012/x
  3. Step 3: Cross multiply
    80,362x = 175,012 × 175,012
  4. Step 4: Simplify right side
    80,362x = 30,629,200,144
  5. Step 5: Solve for x
    x = 30,629,200,144/80,362
  6. Step 6: Final answer
    x = 381,140.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.