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Finding the Third Proportional to 51,576.12 and 109,362.02

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Solution

The third proportional to 51,576.12 and 109,362.02 is: 231,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576.12 : 109,362.02 = 109,362.02 : x
  2. Step 2: Convert to fraction form
    51,576.12/109,362.02 = 109,362.02/x
  3. Step 3: Cross multiply
    51,576.12x = 109,362.02 × 109,362.02
  4. Step 4: Simplify right side
    51,576.12x = 11,960,052,170.34
  5. Step 5: Solve for x
    x = 11,960,052,170.34/51,576.12
  6. Step 6: Final answer
    x = 231,891.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.