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Finding the Third Proportional to 43,861.50 and 85,252.50

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Solution

The third proportional to 43,861.50 and 85,252.50 is: 165,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,861.50 : 85,252.50 = 85,252.50 : x
  2. Step 2: Convert to fraction form
    43,861.50/85,252.50 = 85,252.50/x
  3. Step 3: Cross multiply
    43,861.50x = 85,252.50 × 85,252.50
  4. Step 4: Simplify right side
    43,861.50x = 7,267,988,756.25
  5. Step 5: Solve for x
    x = 7,267,988,756.25/43,861.50
  6. Step 6: Final answer
    x = 165,703.15

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.