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Finding the Third Proportional to 104,434 and 159,103

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Solution

The third proportional to 104,434 and 159,103 is: 242,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,434 : 159,103 = 159,103 : x
  2. Step 2: Convert to fraction form
    104,434/159,103 = 159,103/x
  3. Step 3: Cross multiply
    104,434x = 159,103 × 159,103
  4. Step 4: Simplify right side
    104,434x = 25,313,764,609
  5. Step 5: Solve for x
    x = 25,313,764,609/104,434
  6. Step 6: Final answer
    x = 242,390.07

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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.