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Finding the Third Proportional to 107,544 and 170,824

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Solution

The third proportional to 107,544 and 170,824 is: 271,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,544 : 170,824 = 170,824 : x
  2. Step 2: Convert to fraction form
    107,544/170,824 = 170,824/x
  3. Step 3: Cross multiply
    107,544x = 170,824 × 170,824
  4. Step 4: Simplify right side
    107,544x = 29,180,838,976
  5. Step 5: Solve for x
    x = 29,180,838,976/107,544
  6. Step 6: Final answer
    x = 271,338.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.