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Finding the Third Proportional to 67,898 and 160,538

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Solution

The third proportional to 67,898 and 160,538 is: 379,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,898 : 160,538 = 160,538 : x
  2. Step 2: Convert to fraction form
    67,898/160,538 = 160,538/x
  3. Step 3: Cross multiply
    67,898x = 160,538 × 160,538
  4. Step 4: Simplify right side
    67,898x = 25,772,449,444
  5. Step 5: Solve for x
    x = 25,772,449,444/67,898
  6. Step 6: Final answer
    x = 379,575.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.