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Finding the Third Proportional to 51,759 and 92,431.13

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Solution

The third proportional to 51,759 and 92,431.13 is: 165,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,759 : 92,431.13 = 92,431.13 : x
  2. Step 2: Convert to fraction form
    51,759/92,431.13 = 92,431.13/x
  3. Step 3: Cross multiply
    51,759x = 92,431.13 × 92,431.13
  4. Step 4: Simplify right side
    51,759x = 8,543,512,868.77
  5. Step 5: Solve for x
    x = 8,543,512,868.77/51,759
  6. Step 6: Final answer
    x = 165,063.33

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.