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Finding the Third Proportional to 43,251.75 and 92,970

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Solution

The third proportional to 43,251.75 and 92,970 is: 199,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,251.75 : 92,970 = 92,970 : x
  2. Step 2: Convert to fraction form
    43,251.75/92,970 = 92,970/x
  3. Step 3: Cross multiply
    43,251.75x = 92,970 × 92,970
  4. Step 4: Simplify right side
    43,251.75x = 8,643,420,900
  5. Step 5: Solve for x
    x = 8,643,420,900/43,251.75
  6. Step 6: Final answer
    x = 199,839.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.