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Finding the Third Proportional to 79,832.25 and 111,000.38

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Solution

The third proportional to 79,832.25 and 111,000.38 is: 154,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,832.25 : 111,000.38 = 111,000.38 : x
  2. Step 2: Convert to fraction form
    79,832.25/111,000.38 = 111,000.38/x
  3. Step 3: Cross multiply
    79,832.25x = 111,000.38 × 111,000.38
  4. Step 4: Simplify right side
    79,832.25x = 12,321,083,250.14
  5. Step 5: Solve for x
    x = 12,321,083,250.14/79,832.25
  6. Step 6: Final answer
    x = 154,337.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.