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Finding the Third Proportional to 49,896 and 115,524

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Solution

The third proportional to 49,896 and 115,524 is: 267,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896 : 115,524 = 115,524 : x
  2. Step 2: Convert to fraction form
    49,896/115,524 = 115,524/x
  3. Step 3: Cross multiply
    49,896x = 115,524 × 115,524
  4. Step 4: Simplify right side
    49,896x = 13,345,794,576
  5. Step 5: Solve for x
    x = 13,345,794,576/49,896
  6. Step 6: Final answer
    x = 267,472.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.