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Finding the Third Proportional to 71,059 and 151,965

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Solution

The third proportional to 71,059 and 151,965 is: 324,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,059 : 151,965 = 151,965 : x
  2. Step 2: Convert to fraction form
    71,059/151,965 = 151,965/x
  3. Step 3: Cross multiply
    71,059x = 151,965 × 151,965
  4. Step 4: Simplify right side
    71,059x = 23,093,361,225
  5. Step 5: Solve for x
    x = 23,093,361,225/71,059
  6. Step 6: Final answer
    x = 324,988.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.