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Finding the Third Proportional to 49,299 and 76,266

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Solution

The third proportional to 49,299 and 76,266 is: 117,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,299 : 76,266 = 76,266 : x
  2. Step 2: Convert to fraction form
    49,299/76,266 = 76,266/x
  3. Step 3: Cross multiply
    49,299x = 76,266 × 76,266
  4. Step 4: Simplify right side
    49,299x = 5,816,502,756
  5. Step 5: Solve for x
    x = 5,816,502,756/49,299
  6. Step 6: Final answer
    x = 117,984.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.