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Finding the Third Proportional to 49,986 and 107,748

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Solution

The third proportional to 49,986 and 107,748 is: 232,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,986 : 107,748 = 107,748 : x
  2. Step 2: Convert to fraction form
    49,986/107,748 = 107,748/x
  3. Step 3: Cross multiply
    49,986x = 107,748 × 107,748
  4. Step 4: Simplify right side
    49,986x = 11,609,631,504
  5. Step 5: Solve for x
    x = 11,609,631,504/49,986
  6. Step 6: Final answer
    x = 232,257.66

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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.