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Finding the Third Proportional to 43,677 and 90,171

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Solution

The third proportional to 43,677 and 90,171 is: 186,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677 : 90,171 = 90,171 : x
  2. Step 2: Convert to fraction form
    43,677/90,171 = 90,171/x
  3. Step 3: Cross multiply
    43,677x = 90,171 × 90,171
  4. Step 4: Simplify right side
    43,677x = 8,130,809,241
  5. Step 5: Solve for x
    x = 8,130,809,241/43,677
  6. Step 6: Final answer
    x = 186,157.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.