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Finding the Third Proportional to 85,379.91 and 127,377.56

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Solution

The third proportional to 85,379.91 and 127,377.56 is: 190,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,379.91 : 127,377.56 = 127,377.56 : x
  2. Step 2: Convert to fraction form
    85,379.91/127,377.56 = 127,377.56/x
  3. Step 3: Cross multiply
    85,379.91x = 127,377.56 × 127,377.56
  4. Step 4: Simplify right side
    85,379.91x = 16,225,043,428.44
  5. Step 5: Solve for x
    x = 16,225,043,428.44/85,379.91
  6. Step 6: Final answer
    x = 190,033.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.