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Finding the Third Proportional to 73,181 and 157,762

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Solution

The third proportional to 73,181 and 157,762 is: 340,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,181 : 157,762 = 157,762 : x
  2. Step 2: Convert to fraction form
    73,181/157,762 = 157,762/x
  3. Step 3: Cross multiply
    73,181x = 157,762 × 157,762
  4. Step 4: Simplify right side
    73,181x = 24,888,848,644
  5. Step 5: Solve for x
    x = 24,888,848,644/73,181
  6. Step 6: Final answer
    x = 340,099.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.