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Finding the Third Proportional to 49,896 and 76,300

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Solution

The third proportional to 49,896 and 76,300 is: 116,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896 : 76,300 = 76,300 : x
  2. Step 2: Convert to fraction form
    49,896/76,300 = 76,300/x
  3. Step 3: Cross multiply
    49,896x = 76,300 × 76,300
  4. Step 4: Simplify right side
    49,896x = 5,821,690,000
  5. Step 5: Solve for x
    x = 5,821,690,000/49,896
  6. Step 6: Final answer
    x = 116,676.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.