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Finding the Third Proportional to 85,336 and 113,236

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Solution

The third proportional to 85,336 and 113,236 is: 150,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,336 : 113,236 = 113,236 : x
  2. Step 2: Convert to fraction form
    85,336/113,236 = 113,236/x
  3. Step 3: Cross multiply
    85,336x = 113,236 × 113,236
  4. Step 4: Simplify right side
    85,336x = 12,822,391,696
  5. Step 5: Solve for x
    x = 12,822,391,696/85,336
  6. Step 6: Final answer
    x = 150,257.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.