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Finding the Third Proportional to 40,098.38 and 81,168.75

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Solution

The third proportional to 40,098.38 and 81,168.75 is: 164,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.38 : 81,168.75 = 81,168.75 : x
  2. Step 2: Convert to fraction form
    40,098.38/81,168.75 = 81,168.75/x
  3. Step 3: Cross multiply
    40,098.38x = 81,168.75 × 81,168.75
  4. Step 4: Simplify right side
    40,098.38x = 6,588,365,976.56
  5. Step 5: Solve for x
    x = 6,588,365,976.56/40,098.38
  6. Step 6: Final answer
    x = 164,305.06

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.