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Finding the Third Proportional to 75,427.69 and 111,835.97

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Solution

The third proportional to 75,427.69 and 111,835.97 is: 165,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,427.69 : 111,835.97 = 111,835.97 : x
  2. Step 2: Convert to fraction form
    75,427.69/111,835.97 = 111,835.97/x
  3. Step 3: Cross multiply
    75,427.69x = 111,835.97 × 111,835.97
  4. Step 4: Simplify right side
    75,427.69x = 12,507,283,906.25
  5. Step 5: Solve for x
    x = 12,507,283,906.25/75,427.69
  6. Step 6: Final answer
    x = 165,818.21

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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.