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Finding the Third Proportional to 127,863.56 and 189,317.25

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Solution

The third proportional to 127,863.56 and 189,317.25 is: 280,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,863.56 : 189,317.25 = 189,317.25 : x
  2. Step 2: Convert to fraction form
    127,863.56/189,317.25 = 189,317.25/x
  3. Step 3: Cross multiply
    127,863.56x = 189,317.25 × 189,317.25
  4. Step 4: Simplify right side
    127,863.56x = 35,841,021,147.56
  5. Step 5: Solve for x
    x = 35,841,021,147.56/127,863.56
  6. Step 6: Final answer
    x = 280,306.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.