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Finding the Third Proportional to 74,104 and 159,790

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Solution

The third proportional to 74,104 and 159,790 is: 344,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,104 : 159,790 = 159,790 : x
  2. Step 2: Convert to fraction form
    74,104/159,790 = 159,790/x
  3. Step 3: Cross multiply
    74,104x = 159,790 × 159,790
  4. Step 4: Simplify right side
    74,104x = 25,532,844,100
  5. Step 5: Solve for x
    x = 25,532,844,100/74,104
  6. Step 6: Final answer
    x = 344,554.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.