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Finding the Third Proportional to 61,725.38 and 132,814.69

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Solution

The third proportional to 61,725.38 and 132,814.69 is: 285,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,725.38 : 132,814.69 = 132,814.69 : x
  2. Step 2: Convert to fraction form
    61,725.38/132,814.69 = 132,814.69/x
  3. Step 3: Cross multiply
    61,725.38x = 132,814.69 × 132,814.69
  4. Step 4: Simplify right side
    61,725.38x = 17,639,741,215.72
  5. Step 5: Solve for x
    x = 17,639,741,215.72/61,725.38
  6. Step 6: Final answer
    x = 285,777.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.