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Finding the Third Proportional to 41,200 and 85,318

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Solution

The third proportional to 41,200 and 85,318 is: 176,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200 : 85,318 = 85,318 : x
  2. Step 2: Convert to fraction form
    41,200/85,318 = 85,318/x
  3. Step 3: Cross multiply
    41,200x = 85,318 × 85,318
  4. Step 4: Simplify right side
    41,200x = 7,279,161,124
  5. Step 5: Solve for x
    x = 7,279,161,124/41,200
  6. Step 6: Final answer
    x = 176,678.67

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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.