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Finding the Third Proportional to 45,215 and 94,561

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Solution

The third proportional to 45,215 and 94,561 is: 197,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,215 : 94,561 = 94,561 : x
  2. Step 2: Convert to fraction form
    45,215/94,561 = 94,561/x
  3. Step 3: Cross multiply
    45,215x = 94,561 × 94,561
  4. Step 4: Simplify right side
    45,215x = 8,941,782,721
  5. Step 5: Solve for x
    x = 8,941,782,721/45,215
  6. Step 6: Final answer
    x = 197,761.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.