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Finding the Third Proportional to 45,471 and 107,188

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Solution

The third proportional to 45,471 and 107,188 is: 252,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,471 : 107,188 = 107,188 : x
  2. Step 2: Convert to fraction form
    45,471/107,188 = 107,188/x
  3. Step 3: Cross multiply
    45,471x = 107,188 × 107,188
  4. Step 4: Simplify right side
    45,471x = 11,489,267,344
  5. Step 5: Solve for x
    x = 11,489,267,344/45,471
  6. Step 6: Final answer
    x = 252,672.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.