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Finding the Third Proportional to 54,206 and 102,884

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Solution

The third proportional to 54,206 and 102,884 is: 195,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206 : 102,884 = 102,884 : x
  2. Step 2: Convert to fraction form
    54,206/102,884 = 102,884/x
  3. Step 3: Cross multiply
    54,206x = 102,884 × 102,884
  4. Step 4: Simplify right side
    54,206x = 10,585,117,456
  5. Step 5: Solve for x
    x = 10,585,117,456/54,206
  6. Step 6: Final answer
    x = 195,275.75

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.