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Finding the Third Proportional to 49,906.50 and 76,924.88

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Solution

The third proportional to 49,906.50 and 76,924.88 is: 118,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.50 : 76,924.88 = 76,924.88 : x
  2. Step 2: Convert to fraction form
    49,906.50/76,924.88 = 76,924.88/x
  3. Step 3: Cross multiply
    49,906.50x = 76,924.88 × 76,924.88
  4. Step 4: Simplify right side
    49,906.50x = 5,917,436,393.77
  5. Step 5: Solve for x
    x = 5,917,436,393.77/49,906.50
  6. Step 6: Final answer
    x = 118,570.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.