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Finding the Third Proportional to 42,251.63 and 85,672.69

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Solution

The third proportional to 42,251.63 and 85,672.69 is: 173,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,251.63 : 85,672.69 = 85,672.69 : x
  2. Step 2: Convert to fraction form
    42,251.63/85,672.69 = 85,672.69/x
  3. Step 3: Cross multiply
    42,251.63x = 85,672.69 × 85,672.69
  4. Step 4: Simplify right side
    42,251.63x = 7,339,809,383.47
  5. Step 5: Solve for x
    x = 7,339,809,383.47/42,251.63
  6. Step 6: Final answer
    x = 173,716.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.