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Finding the Third Proportional to 43,277 and 95,947

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Solution

The third proportional to 43,277 and 95,947 is: 212,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,277 : 95,947 = 95,947 : x
  2. Step 2: Convert to fraction form
    43,277/95,947 = 95,947/x
  3. Step 3: Cross multiply
    43,277x = 95,947 × 95,947
  4. Step 4: Simplify right side
    43,277x = 9,205,826,809
  5. Step 5: Solve for x
    x = 9,205,826,809/43,277
  6. Step 6: Final answer
    x = 212,718.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.