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Finding the Third Proportional to 51,988.50 and 80,466.75

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Solution

The third proportional to 51,988.50 and 80,466.75 is: 124,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.50 : 80,466.75 = 80,466.75 : x
  2. Step 2: Convert to fraction form
    51,988.50/80,466.75 = 80,466.75/x
  3. Step 3: Cross multiply
    51,988.50x = 80,466.75 × 80,466.75
  4. Step 4: Simplify right side
    51,988.50x = 6,474,897,855.56
  5. Step 5: Solve for x
    x = 6,474,897,855.56/51,988.50
  6. Step 6: Final answer
    x = 124,544.81

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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.