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Finding the Third Proportional to 75,512 and 119,965

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Solution

The third proportional to 75,512 and 119,965 is: 190,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,512 : 119,965 = 119,965 : x
  2. Step 2: Convert to fraction form
    75,512/119,965 = 119,965/x
  3. Step 3: Cross multiply
    75,512x = 119,965 × 119,965
  4. Step 4: Simplify right side
    75,512x = 14,391,601,225
  5. Step 5: Solve for x
    x = 14,391,601,225/75,512
  6. Step 6: Final answer
    x = 190,586.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.