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Finding the Third Proportional to 104,022 and 159,921

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Solution

The third proportional to 104,022 and 159,921 is: 245,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 159,921 = 159,921 : x
  2. Step 2: Convert to fraction form
    104,022/159,921 = 159,921/x
  3. Step 3: Cross multiply
    104,022x = 159,921 × 159,921
  4. Step 4: Simplify right side
    104,022x = 25,574,726,241
  5. Step 5: Solve for x
    x = 25,574,726,241/104,022
  6. Step 6: Final answer
    x = 245,858.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.