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Finding the Third Proportional to 43,506.75 and 92,160.75

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Solution

The third proportional to 43,506.75 and 92,160.75 is: 195,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506.75 : 92,160.75 = 92,160.75 : x
  2. Step 2: Convert to fraction form
    43,506.75/92,160.75 = 92,160.75/x
  3. Step 3: Cross multiply
    43,506.75x = 92,160.75 × 92,160.75
  4. Step 4: Simplify right side
    43,506.75x = 8,493,603,840.56
  5. Step 5: Solve for x
    x = 8,493,603,840.56/43,506.75
  6. Step 6: Final answer
    x = 195,224.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.