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Finding the Third Proportional to 127,324.41 and 193,754.53

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Solution

The third proportional to 127,324.41 and 193,754.53 is: 294,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,324.41 : 193,754.53 = 193,754.53 : x
  2. Step 2: Convert to fraction form
    127,324.41/193,754.53 = 193,754.53/x
  3. Step 3: Cross multiply
    127,324.41x = 193,754.53 × 193,754.53
  4. Step 4: Simplify right side
    127,324.41x = 37,540,818,379.91
  5. Step 5: Solve for x
    x = 37,540,818,379.91/127,324.41
  6. Step 6: Final answer
    x = 294,843.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.