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Finding the Third Proportional to 48,270 and 76,809

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Solution

The third proportional to 48,270 and 76,809 is: 122,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,270 : 76,809 = 76,809 : x
  2. Step 2: Convert to fraction form
    48,270/76,809 = 76,809/x
  3. Step 3: Cross multiply
    48,270x = 76,809 × 76,809
  4. Step 4: Simplify right side
    48,270x = 5,899,622,481
  5. Step 5: Solve for x
    x = 5,899,622,481/48,270
  6. Step 6: Final answer
    x = 122,221.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.