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Finding the Third Proportional to 43,033.50 and 92,292.75

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Solution

The third proportional to 43,033.50 and 92,292.75 is: 197,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,033.50 : 92,292.75 = 92,292.75 : x
  2. Step 2: Convert to fraction form
    43,033.50/92,292.75 = 92,292.75/x
  3. Step 3: Cross multiply
    43,033.50x = 92,292.75 × 92,292.75
  4. Step 4: Simplify right side
    43,033.50x = 8,517,951,702.56
  5. Step 5: Solve for x
    x = 8,517,951,702.56/43,033.50
  6. Step 6: Final answer
    x = 197,937.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.