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Finding the Third Proportional to 126,240.75 and 194,031

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Solution

The third proportional to 126,240.75 and 194,031 is: 298,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,240.75 : 194,031 = 194,031 : x
  2. Step 2: Convert to fraction form
    126,240.75/194,031 = 194,031/x
  3. Step 3: Cross multiply
    126,240.75x = 194,031 × 194,031
  4. Step 4: Simplify right side
    126,240.75x = 37,648,028,961
  5. Step 5: Solve for x
    x = 37,648,028,961/126,240.75
  6. Step 6: Final answer
    x = 298,224.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.