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Finding the Third Proportional to 47,203 and 92,014

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Solution

The third proportional to 47,203 and 92,014 is: 179,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203 : 92,014 = 92,014 : x
  2. Step 2: Convert to fraction form
    47,203/92,014 = 92,014/x
  3. Step 3: Cross multiply
    47,203x = 92,014 × 92,014
  4. Step 4: Simplify right side
    47,203x = 8,466,576,196
  5. Step 5: Solve for x
    x = 8,466,576,196/47,203
  6. Step 6: Final answer
    x = 179,365.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.