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Finding the Third Proportional to 57,001 and 80,922

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Solution

The third proportional to 57,001 and 80,922 is: 114,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,001 : 80,922 = 80,922 : x
  2. Step 2: Convert to fraction form
    57,001/80,922 = 80,922/x
  3. Step 3: Cross multiply
    57,001x = 80,922 × 80,922
  4. Step 4: Simplify right side
    57,001x = 6,548,370,084
  5. Step 5: Solve for x
    x = 6,548,370,084/57,001
  6. Step 6: Final answer
    x = 114,881.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.