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Finding the Third Proportional to 50,013 and 108,613

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Solution

The third proportional to 50,013 and 108,613 is: 235,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,013 : 108,613 = 108,613 : x
  2. Step 2: Convert to fraction form
    50,013/108,613 = 108,613/x
  3. Step 3: Cross multiply
    50,013x = 108,613 × 108,613
  4. Step 4: Simplify right side
    50,013x = 11,796,783,769
  5. Step 5: Solve for x
    x = 11,796,783,769/50,013
  6. Step 6: Final answer
    x = 235,874.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.