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Finding the Third Proportional to 47,186 and 66,107

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Solution

The third proportional to 47,186 and 66,107 is: 92,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,186 : 66,107 = 66,107 : x
  2. Step 2: Convert to fraction form
    47,186/66,107 = 66,107/x
  3. Step 3: Cross multiply
    47,186x = 66,107 × 66,107
  4. Step 4: Simplify right side
    47,186x = 4,370,135,449
  5. Step 5: Solve for x
    x = 4,370,135,449/47,186
  6. Step 6: Final answer
    x = 92,615.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.