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Finding the Third Proportional to 126,795.38 and 189,795.66

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Solution

The third proportional to 126,795.38 and 189,795.66 is: 284,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,795.38 : 189,795.66 = 189,795.66 : x
  2. Step 2: Convert to fraction form
    126,795.38/189,795.66 = 189,795.66/x
  3. Step 3: Cross multiply
    126,795.38x = 189,795.66 × 189,795.66
  4. Step 4: Simplify right side
    126,795.38x = 36,022,391,131.37
  5. Step 5: Solve for x
    x = 36,022,391,131.37/126,795.38
  6. Step 6: Final answer
    x = 284,098.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.