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Finding the Third Proportional to 92,515.50 and 122,993.25

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Solution

The third proportional to 92,515.50 and 122,993.25 is: 163,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,515.50 : 122,993.25 = 122,993.25 : x
  2. Step 2: Convert to fraction form
    92,515.50/122,993.25 = 122,993.25/x
  3. Step 3: Cross multiply
    92,515.50x = 122,993.25 × 122,993.25
  4. Step 4: Simplify right side
    92,515.50x = 15,127,339,545.56
  5. Step 5: Solve for x
    x = 15,127,339,545.56/92,515.50
  6. Step 6: Final answer
    x = 163,511.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.