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Finding the Third Proportional to 74,612 and 160,267

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Solution

The third proportional to 74,612 and 160,267 is: 344,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,612 : 160,267 = 160,267 : x
  2. Step 2: Convert to fraction form
    74,612/160,267 = 160,267/x
  3. Step 3: Cross multiply
    74,612x = 160,267 × 160,267
  4. Step 4: Simplify right side
    74,612x = 25,685,511,289
  5. Step 5: Solve for x
    x = 25,685,511,289/74,612
  6. Step 6: Final answer
    x = 344,254.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.