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Finding the Third Proportional to 51,954.75 and 80,605.13

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Solution

The third proportional to 51,954.75 and 80,605.13 is: 125,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954.75 : 80,605.13 = 80,605.13 : x
  2. Step 2: Convert to fraction form
    51,954.75/80,605.13 = 80,605.13/x
  3. Step 3: Cross multiply
    51,954.75x = 80,605.13 × 80,605.13
  4. Step 4: Simplify right side
    51,954.75x = 6,497,186,176.27
  5. Step 5: Solve for x
    x = 6,497,186,176.27/51,954.75
  6. Step 6: Final answer
    x = 125,054.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.