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Finding the Third Proportional to 85,364 and 131,894

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Solution

The third proportional to 85,364 and 131,894 is: 203,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,364 : 131,894 = 131,894 : x
  2. Step 2: Convert to fraction form
    85,364/131,894 = 131,894/x
  3. Step 3: Cross multiply
    85,364x = 131,894 × 131,894
  4. Step 4: Simplify right side
    85,364x = 17,396,027,236
  5. Step 5: Solve for x
    x = 17,396,027,236/85,364
  6. Step 6: Final answer
    x = 203,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.