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Finding the Third Proportional to 45,031 and 104,238

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Solution

The third proportional to 45,031 and 104,238 is: 241,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,031 : 104,238 = 104,238 : x
  2. Step 2: Convert to fraction form
    45,031/104,238 = 104,238/x
  3. Step 3: Cross multiply
    45,031x = 104,238 × 104,238
  4. Step 4: Simplify right side
    45,031x = 10,865,560,644
  5. Step 5: Solve for x
    x = 10,865,560,644/45,031
  6. Step 6: Final answer
    x = 241,290.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.