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Finding the Third Proportional to 45,340 and 68,184

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Solution

The third proportional to 45,340 and 68,184 is: 102,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,340 : 68,184 = 68,184 : x
  2. Step 2: Convert to fraction form
    45,340/68,184 = 68,184/x
  3. Step 3: Cross multiply
    45,340x = 68,184 × 68,184
  4. Step 4: Simplify right side
    45,340x = 4,649,057,856
  5. Step 5: Solve for x
    x = 4,649,057,856/45,340
  6. Step 6: Final answer
    x = 102,537.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.