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Finding the Third Proportional to 50,121 and 108,077

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Solution

The third proportional to 50,121 and 108,077 is: 233,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,121 : 108,077 = 108,077 : x
  2. Step 2: Convert to fraction form
    50,121/108,077 = 108,077/x
  3. Step 3: Cross multiply
    50,121x = 108,077 × 108,077
  4. Step 4: Simplify right side
    50,121x = 11,680,637,929
  5. Step 5: Solve for x
    x = 11,680,637,929/50,121
  6. Step 6: Final answer
    x = 233,048.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.