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Finding the Third Proportional to 100,103.25 and 134,832.38

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Solution

The third proportional to 100,103.25 and 134,832.38 is: 181,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,103.25 : 134,832.38 = 134,832.38 : x
  2. Step 2: Convert to fraction form
    100,103.25/134,832.38 = 134,832.38/x
  3. Step 3: Cross multiply
    100,103.25x = 134,832.38 × 134,832.38
  4. Step 4: Simplify right side
    100,103.25x = 18,179,769,348.14
  5. Step 5: Solve for x
    x = 18,179,769,348.14/100,103.25
  6. Step 6: Final answer
    x = 181,610.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.