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Finding the Third Proportional to 57,611 and 119,221

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Solution

The third proportional to 57,611 and 119,221 is: 246,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,611 : 119,221 = 119,221 : x
  2. Step 2: Convert to fraction form
    57,611/119,221 = 119,221/x
  3. Step 3: Cross multiply
    57,611x = 119,221 × 119,221
  4. Step 4: Simplify right side
    57,611x = 14,213,646,841
  5. Step 5: Solve for x
    x = 14,213,646,841/57,611
  6. Step 6: Final answer
    x = 246,717.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.