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Finding the Third Proportional to 104,467 and 159,148

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Solution

The third proportional to 104,467 and 159,148 is: 242,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,467 : 159,148 = 159,148 : x
  2. Step 2: Convert to fraction form
    104,467/159,148 = 159,148/x
  3. Step 3: Cross multiply
    104,467x = 159,148 × 159,148
  4. Step 4: Simplify right side
    104,467x = 25,328,085,904
  5. Step 5: Solve for x
    x = 25,328,085,904/104,467
  6. Step 6: Final answer
    x = 242,450.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.