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Finding the Third Proportional to 47,069 and 91,772

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Solution

The third proportional to 47,069 and 91,772 is: 178,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069 : 91,772 = 91,772 : x
  2. Step 2: Convert to fraction form
    47,069/91,772 = 91,772/x
  3. Step 3: Cross multiply
    47,069x = 91,772 × 91,772
  4. Step 4: Simplify right side
    47,069x = 8,422,099,984
  5. Step 5: Solve for x
    x = 8,422,099,984/47,069
  6. Step 6: Final answer
    x = 178,930.93

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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.