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Finding the Third Proportional to 59,374.69 and 126,469.69

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Solution

The third proportional to 59,374.69 and 126,469.69 is: 269,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,374.69 : 126,469.69 = 126,469.69 : x
  2. Step 2: Convert to fraction form
    59,374.69/126,469.69 = 126,469.69/x
  3. Step 3: Cross multiply
    59,374.69x = 126,469.69 × 126,469.69
  4. Step 4: Simplify right side
    59,374.69x = 15,994,581,856.35
  5. Step 5: Solve for x
    x = 15,994,581,856.35/59,374.69
  6. Step 6: Final answer
    x = 269,383.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.