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Finding the Third Proportional to 39,225 and 85,249.50

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Solution

The third proportional to 39,225 and 85,249.50 is: 185,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,225 : 85,249.50 = 85,249.50 : x
  2. Step 2: Convert to fraction form
    39,225/85,249.50 = 85,249.50/x
  3. Step 3: Cross multiply
    39,225x = 85,249.50 × 85,249.50
  4. Step 4: Simplify right side
    39,225x = 7,267,477,250.25
  5. Step 5: Solve for x
    x = 7,267,477,250.25/39,225
  6. Step 6: Final answer
    x = 185,276.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.