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Finding the Third Proportional to 51,523.59 and 108,674.16

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Solution

The third proportional to 51,523.59 and 108,674.16 is: 229,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523.59 : 108,674.16 = 108,674.16 : x
  2. Step 2: Convert to fraction form
    51,523.59/108,674.16 = 108,674.16/x
  3. Step 3: Cross multiply
    51,523.59x = 108,674.16 × 108,674.16
  4. Step 4: Simplify right side
    51,523.59x = 11,810,072,236.65
  5. Step 5: Solve for x
    x = 11,810,072,236.65/51,523.59
  6. Step 6: Final answer
    x = 229,216.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.