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Finding the Third Proportional to 49,929 and 108,674.25

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Solution

The third proportional to 49,929 and 108,674.25 is: 236,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,929 : 108,674.25 = 108,674.25 : x
  2. Step 2: Convert to fraction form
    49,929/108,674.25 = 108,674.25/x
  3. Step 3: Cross multiply
    49,929x = 108,674.25 × 108,674.25
  4. Step 4: Simplify right side
    49,929x = 11,810,092,613.06
  5. Step 5: Solve for x
    x = 11,810,092,613.06/49,929
  6. Step 6: Final answer
    x = 236,537.74

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