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Finding the Third Proportional to 51,166.69 and 107,634.76

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Solution

The third proportional to 51,166.69 and 107,634.76 is: 226,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.69 : 107,634.76 = 107,634.76 : x
  2. Step 2: Convert to fraction form
    51,166.69/107,634.76 = 107,634.76/x
  3. Step 3: Cross multiply
    51,166.69x = 107,634.76 × 107,634.76
  4. Step 4: Simplify right side
    51,166.69x = 11,585,241,930.25
  5. Step 5: Solve for x
    x = 11,585,241,930.25/51,166.69
  6. Step 6: Final answer
    x = 226,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.