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Finding the Third Proportional to 40,200.50 and 81,494.50

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Solution

The third proportional to 40,200.50 and 81,494.50 is: 165,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200.50 : 81,494.50 = 81,494.50 : x
  2. Step 2: Convert to fraction form
    40,200.50/81,494.50 = 81,494.50/x
  3. Step 3: Cross multiply
    40,200.50x = 81,494.50 × 81,494.50
  4. Step 4: Simplify right side
    40,200.50x = 6,641,353,530.25
  5. Step 5: Solve for x
    x = 6,641,353,530.25/40,200.50
  6. Step 6: Final answer
    x = 165,205.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.