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Finding the Third Proportional to 45,317 and 100,014

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Solution

The third proportional to 45,317 and 100,014 is: 220,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,317 : 100,014 = 100,014 : x
  2. Step 2: Convert to fraction form
    45,317/100,014 = 100,014/x
  3. Step 3: Cross multiply
    45,317x = 100,014 × 100,014
  4. Step 4: Simplify right side
    45,317x = 10,002,800,196
  5. Step 5: Solve for x
    x = 10,002,800,196/45,317
  6. Step 6: Final answer
    x = 220,729.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.