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Finding the Third Proportional to 127,601.44 and 279,624.38

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Solution

The third proportional to 127,601.44 and 279,624.38 is: 612,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,601.44 : 279,624.38 = 279,624.38 : x
  2. Step 2: Convert to fraction form
    127,601.44/279,624.38 = 279,624.38/x
  3. Step 3: Cross multiply
    127,601.44x = 279,624.38 × 279,624.38
  4. Step 4: Simplify right side
    127,601.44x = 78,189,791,094.14
  5. Step 5: Solve for x
    x = 78,189,791,094.14/127,601.44
  6. Step 6: Final answer
    x = 612,765.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.