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Finding the Third Proportional to 45,794 and 96,508

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Solution

The third proportional to 45,794 and 96,508 is: 203,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,794 : 96,508 = 96,508 : x
  2. Step 2: Convert to fraction form
    45,794/96,508 = 96,508/x
  3. Step 3: Cross multiply
    45,794x = 96,508 × 96,508
  4. Step 4: Simplify right side
    45,794x = 9,313,794,064
  5. Step 5: Solve for x
    x = 9,313,794,064/45,794
  6. Step 6: Final answer
    x = 203,384.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.