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Finding the Third Proportional to 80,837 and 177,562

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Solution

The third proportional to 80,837 and 177,562 is: 390,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,837 : 177,562 = 177,562 : x
  2. Step 2: Convert to fraction form
    80,837/177,562 = 177,562/x
  3. Step 3: Cross multiply
    80,837x = 177,562 × 177,562
  4. Step 4: Simplify right side
    80,837x = 31,528,263,844
  5. Step 5: Solve for x
    x = 31,528,263,844/80,837
  6. Step 6: Final answer
    x = 390,022.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.