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Finding the Third Proportional to 107,296.88 and 165,876.75

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Solution

The third proportional to 107,296.88 and 165,876.75 is: 256,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296.88 : 165,876.75 = 165,876.75 : x
  2. Step 2: Convert to fraction form
    107,296.88/165,876.75 = 165,876.75/x
  3. Step 3: Cross multiply
    107,296.88x = 165,876.75 × 165,876.75
  4. Step 4: Simplify right side
    107,296.88x = 27,515,096,190.56
  5. Step 5: Solve for x
    x = 27,515,096,190.56/107,296.88
  6. Step 6: Final answer
    x = 256,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.