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Finding the Third Proportional to 50,132 and 106,762

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Solution

The third proportional to 50,132 and 106,762 is: 227,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,132 : 106,762 = 106,762 : x
  2. Step 2: Convert to fraction form
    50,132/106,762 = 106,762/x
  3. Step 3: Cross multiply
    50,132x = 106,762 × 106,762
  4. Step 4: Simplify right side
    50,132x = 11,398,124,644
  5. Step 5: Solve for x
    x = 11,398,124,644/50,132
  6. Step 6: Final answer
    x = 227,362.26

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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.