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Finding the Third Proportional to 51,193.69 and 80,133.05

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Solution

The third proportional to 51,193.69 and 80,133.05 is: 125,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.69 : 80,133.05 = 80,133.05 : x
  2. Step 2: Convert to fraction form
    51,193.69/80,133.05 = 80,133.05/x
  3. Step 3: Cross multiply
    51,193.69x = 80,133.05 × 80,133.05
  4. Step 4: Simplify right side
    51,193.69x = 6,421,305,201.47
  5. Step 5: Solve for x
    x = 6,421,305,201.47/51,193.69
  6. Step 6: Final answer
    x = 125,431.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.