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Finding the Third Proportional to 50,892 and 108,012

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Solution

The third proportional to 50,892 and 108,012 is: 229,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892 : 108,012 = 108,012 : x
  2. Step 2: Convert to fraction form
    50,892/108,012 = 108,012/x
  3. Step 3: Cross multiply
    50,892x = 108,012 × 108,012
  4. Step 4: Simplify right side
    50,892x = 11,666,592,144
  5. Step 5: Solve for x
    x = 11,666,592,144/50,892
  6. Step 6: Final answer
    x = 229,242.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.