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Finding the Third Proportional to 131,408 and 185,965

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Solution

The third proportional to 131,408 and 185,965 is: 263,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408 : 185,965 = 185,965 : x
  2. Step 2: Convert to fraction form
    131,408/185,965 = 185,965/x
  3. Step 3: Cross multiply
    131,408x = 185,965 × 185,965
  4. Step 4: Simplify right side
    131,408x = 34,582,981,225
  5. Step 5: Solve for x
    x = 34,582,981,225/131,408
  6. Step 6: Final answer
    x = 263,172.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.