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Finding the Third Proportional to 41,400 and 85,752

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Solution

The third proportional to 41,400 and 85,752 is: 177,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,400 : 85,752 = 85,752 : x
  2. Step 2: Convert to fraction form
    41,400/85,752 = 85,752/x
  3. Step 3: Cross multiply
    41,400x = 85,752 × 85,752
  4. Step 4: Simplify right side
    41,400x = 7,353,405,504
  5. Step 5: Solve for x
    x = 7,353,405,504/41,400
  6. Step 6: Final answer
    x = 177,618.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.