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Finding the Third Proportional to 51,769.13 and 76,924.69

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Solution

The third proportional to 51,769.13 and 76,924.69 is: 114,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.13 : 76,924.69 = 76,924.69 : x
  2. Step 2: Convert to fraction form
    51,769.13/76,924.69 = 76,924.69/x
  3. Step 3: Cross multiply
    51,769.13x = 76,924.69 × 76,924.69
  4. Step 4: Simplify right side
    51,769.13x = 5,917,407,546.97
  5. Step 5: Solve for x
    x = 5,917,407,546.97/51,769.13
  6. Step 6: Final answer
    x = 114,303.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.