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Finding the Third Proportional to 82,832.25 and 110,359.75

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Solution

The third proportional to 82,832.25 and 110,359.75 is: 147,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.25 : 110,359.75 = 110,359.75 : x
  2. Step 2: Convert to fraction form
    82,832.25/110,359.75 = 110,359.75/x
  3. Step 3: Cross multiply
    82,832.25x = 110,359.75 × 110,359.75
  4. Step 4: Simplify right side
    82,832.25x = 12,179,274,420.06
  5. Step 5: Solve for x
    x = 12,179,274,420.06/82,832.25
  6. Step 6: Final answer
    x = 147,035.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.