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Finding the Third Proportional to 51,382.13 and 80,623.13

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Solution

The third proportional to 51,382.13 and 80,623.13 is: 126,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382.13 : 80,623.13 = 80,623.13 : x
  2. Step 2: Convert to fraction form
    51,382.13/80,623.13 = 80,623.13/x
  3. Step 3: Cross multiply
    51,382.13x = 80,623.13 × 80,623.13
  4. Step 4: Simplify right side
    51,382.13x = 6,500,088,284.77
  5. Step 5: Solve for x
    x = 6,500,088,284.77/51,382.13
  6. Step 6: Final answer
    x = 126,504.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.