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Finding the Third Proportional to 73,099 and 151,945

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Solution

The third proportional to 73,099 and 151,945 is: 315,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,099 : 151,945 = 151,945 : x
  2. Step 2: Convert to fraction form
    73,099/151,945 = 151,945/x
  3. Step 3: Cross multiply
    73,099x = 151,945 × 151,945
  4. Step 4: Simplify right side
    73,099x = 23,087,283,025
  5. Step 5: Solve for x
    x = 23,087,283,025/73,099
  6. Step 6: Final answer
    x = 315,835.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.