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Finding the Third Proportional to 79,429.50 and 111,938

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Solution

The third proportional to 79,429.50 and 111,938 is: 157,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,429.50 : 111,938 = 111,938 : x
  2. Step 2: Convert to fraction form
    79,429.50/111,938 = 111,938/x
  3. Step 3: Cross multiply
    79,429.50x = 111,938 × 111,938
  4. Step 4: Simplify right side
    79,429.50x = 12,530,115,844
  5. Step 5: Solve for x
    x = 12,530,115,844/79,429.50
  6. Step 6: Final answer
    x = 157,751.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.