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Finding the Third Proportional to 42,251.63 and 59,067.56

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Solution

The third proportional to 42,251.63 and 59,067.56 is: 82,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,251.63 : 59,067.56 = 59,067.56 : x
  2. Step 2: Convert to fraction form
    42,251.63/59,067.56 = 59,067.56/x
  3. Step 3: Cross multiply
    42,251.63x = 59,067.56 × 59,067.56
  4. Step 4: Simplify right side
    42,251.63x = 3,488,976,939.69
  5. Step 5: Solve for x
    x = 3,488,976,939.69/42,251.63
  6. Step 6: Final answer
    x = 82,576.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.