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Finding the Third Proportional to 45,576 and 96,976

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Solution

The third proportional to 45,576 and 96,976 is: 206,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,576 : 96,976 = 96,976 : x
  2. Step 2: Convert to fraction form
    45,576/96,976 = 96,976/x
  3. Step 3: Cross multiply
    45,576x = 96,976 × 96,976
  4. Step 4: Simplify right side
    45,576x = 9,404,344,576
  5. Step 5: Solve for x
    x = 9,404,344,576/45,576
  6. Step 6: Final answer
    x = 206,344.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.