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Finding the Third Proportional to 50,339 and 110,007

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Solution

The third proportional to 50,339 and 110,007 is: 240,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,339 : 110,007 = 110,007 : x
  2. Step 2: Convert to fraction form
    50,339/110,007 = 110,007/x
  3. Step 3: Cross multiply
    50,339x = 110,007 × 110,007
  4. Step 4: Simplify right side
    50,339x = 12,101,540,049
  5. Step 5: Solve for x
    x = 12,101,540,049/50,339
  6. Step 6: Final answer
    x = 240,400.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.