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Finding the Third Proportional to 43,723.50 and 94,137

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Solution

The third proportional to 43,723.50 and 94,137 is: 202,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,723.50 : 94,137 = 94,137 : x
  2. Step 2: Convert to fraction form
    43,723.50/94,137 = 94,137/x
  3. Step 3: Cross multiply
    43,723.50x = 94,137 × 94,137
  4. Step 4: Simplify right side
    43,723.50x = 8,861,774,769
  5. Step 5: Solve for x
    x = 8,861,774,769/43,723.50
  6. Step 6: Final answer
    x = 202,677.62

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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.