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Finding the Third Proportional to 57,201 and 120,288

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Solution

The third proportional to 57,201 and 120,288 is: 252,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,201 : 120,288 = 120,288 : x
  2. Step 2: Convert to fraction form
    57,201/120,288 = 120,288/x
  3. Step 3: Cross multiply
    57,201x = 120,288 × 120,288
  4. Step 4: Simplify right side
    57,201x = 14,469,202,944
  5. Step 5: Solve for x
    x = 14,469,202,944/57,201
  6. Step 6: Final answer
    x = 252,953.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.