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Finding the Third Proportional to 74,914 and 160,944

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Solution

The third proportional to 74,914 and 160,944 is: 345,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,914 : 160,944 = 160,944 : x
  2. Step 2: Convert to fraction form
    74,914/160,944 = 160,944/x
  3. Step 3: Cross multiply
    74,914x = 160,944 × 160,944
  4. Step 4: Simplify right side
    74,914x = 25,902,971,136
  5. Step 5: Solve for x
    x = 25,902,971,136/74,914
  6. Step 6: Final answer
    x = 345,769.43

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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.