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Finding the Third Proportional to 74,072 and 160,204

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Solution

The third proportional to 74,072 and 160,204 is: 346,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,072 : 160,204 = 160,204 : x
  2. Step 2: Convert to fraction form
    74,072/160,204 = 160,204/x
  3. Step 3: Cross multiply
    74,072x = 160,204 × 160,204
  4. Step 4: Simplify right side
    74,072x = 25,665,321,616
  5. Step 5: Solve for x
    x = 25,665,321,616/74,072
  6. Step 6: Final answer
    x = 346,491.54

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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.