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Finding the Third Proportional to 49,234 and 107,379

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Solution

The third proportional to 49,234 and 107,379 is: 234,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234 : 107,379 = 107,379 : x
  2. Step 2: Convert to fraction form
    49,234/107,379 = 107,379/x
  3. Step 3: Cross multiply
    49,234x = 107,379 × 107,379
  4. Step 4: Simplify right side
    49,234x = 11,530,249,641
  5. Step 5: Solve for x
    x = 11,530,249,641/49,234
  6. Step 6: Final answer
    x = 234,192.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.