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Finding the Third Proportional to 85,581 and 182,611

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Solution

The third proportional to 85,581 and 182,611 is: 389,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,581 : 182,611 = 182,611 : x
  2. Step 2: Convert to fraction form
    85,581/182,611 = 182,611/x
  3. Step 3: Cross multiply
    85,581x = 182,611 × 182,611
  4. Step 4: Simplify right side
    85,581x = 33,346,777,321
  5. Step 5: Solve for x
    x = 33,346,777,321/85,581
  6. Step 6: Final answer
    x = 389,651.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.