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Finding the Third Proportional to 49,912 and 107,740

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Solution

The third proportional to 49,912 and 107,740 is: 232,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912 : 107,740 = 107,740 : x
  2. Step 2: Convert to fraction form
    49,912/107,740 = 107,740/x
  3. Step 3: Cross multiply
    49,912x = 107,740 × 107,740
  4. Step 4: Simplify right side
    49,912x = 11,607,907,600
  5. Step 5: Solve for x
    x = 11,607,907,600/49,912
  6. Step 6: Final answer
    x = 232,567.47

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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.