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Finding the Third Proportional to 71,997.25 and 101,343.75

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Solution

The third proportional to 71,997.25 and 101,343.75 is: 142,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,997.25 : 101,343.75 = 101,343.75 : x
  2. Step 2: Convert to fraction form
    71,997.25/101,343.75 = 101,343.75/x
  3. Step 3: Cross multiply
    71,997.25x = 101,343.75 × 101,343.75
  4. Step 4: Simplify right side
    71,997.25x = 10,270,555,664.06
  5. Step 5: Solve for x
    x = 10,270,555,664.06/71,997.25
  6. Step 6: Final answer
    x = 142,652.05

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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.