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Finding the Third Proportional to 53,541 and 108,378

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Solution

The third proportional to 53,541 and 108,378 is: 219,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,541 : 108,378 = 108,378 : x
  2. Step 2: Convert to fraction form
    53,541/108,378 = 108,378/x
  3. Step 3: Cross multiply
    53,541x = 108,378 × 108,378
  4. Step 4: Simplify right side
    53,541x = 11,745,790,884
  5. Step 5: Solve for x
    x = 11,745,790,884/53,541
  6. Step 6: Final answer
    x = 219,379.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.