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Finding the Third Proportional to 74,905 and 160,825

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Solution

The third proportional to 74,905 and 160,825 is: 345,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,905 : 160,825 = 160,825 : x
  2. Step 2: Convert to fraction form
    74,905/160,825 = 160,825/x
  3. Step 3: Cross multiply
    74,905x = 160,825 × 160,825
  4. Step 4: Simplify right side
    74,905x = 25,864,680,625
  5. Step 5: Solve for x
    x = 25,864,680,625/74,905
  6. Step 6: Final answer
    x = 345,299.79

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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.