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Finding the Third Proportional to 74,914 and 160,945

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Solution

The third proportional to 74,914 and 160,945 is: 345,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,914 : 160,945 = 160,945 : x
  2. Step 2: Convert to fraction form
    74,914/160,945 = 160,945/x
  3. Step 3: Cross multiply
    74,914x = 160,945 × 160,945
  4. Step 4: Simplify right side
    74,914x = 25,903,293,025
  5. Step 5: Solve for x
    x = 25,903,293,025/74,914
  6. Step 6: Final answer
    x = 345,773.73

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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.