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Finding the Third Proportional to 75,433 and 157,064

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Solution

The third proportional to 75,433 and 157,064 is: 327,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433 : 157,064 = 157,064 : x
  2. Step 2: Convert to fraction form
    75,433/157,064 = 157,064/x
  3. Step 3: Cross multiply
    75,433x = 157,064 × 157,064
  4. Step 4: Simplify right side
    75,433x = 24,669,100,096
  5. Step 5: Solve for x
    x = 24,669,100,096/75,433
  6. Step 6: Final answer
    x = 327,033.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.