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Finding the Third Proportional to 33,123.94 and 70,120.69

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Solution

The third proportional to 33,123.94 and 70,120.69 is: 148,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.94 : 70,120.69 = 70,120.69 : x
  2. Step 2: Convert to fraction form
    33,123.94/70,120.69 = 70,120.69/x
  3. Step 3: Cross multiply
    33,123.94x = 70,120.69 × 70,120.69
  4. Step 4: Simplify right side
    33,123.94x = 4,916,910,815.47
  5. Step 5: Solve for x
    x = 4,916,910,815.47/33,123.94
  6. Step 6: Final answer
    x = 148,439.80

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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.