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Finding the Third Proportional to 51,462.84 and 108,538.42

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Solution

The third proportional to 51,462.84 and 108,538.42 is: 228,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.84 : 108,538.42 = 108,538.42 : x
  2. Step 2: Convert to fraction form
    51,462.84/108,538.42 = 108,538.42/x
  3. Step 3: Cross multiply
    51,462.84x = 108,538.42 × 108,538.42
  4. Step 4: Simplify right side
    51,462.84x = 11,780,588,175.16
  5. Step 5: Solve for x
    x = 11,780,588,175.16/51,462.84
  6. Step 6: Final answer
    x = 228,914.44

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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.