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Finding the Third Proportional to 133,071 and 202,147

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Solution

The third proportional to 133,071 and 202,147 is: 307,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071 : 202,147 = 202,147 : x
  2. Step 2: Convert to fraction form
    133,071/202,147 = 202,147/x
  3. Step 3: Cross multiply
    133,071x = 202,147 × 202,147
  4. Step 4: Simplify right side
    133,071x = 40,863,409,609
  5. Step 5: Solve for x
    x = 40,863,409,609/133,071
  6. Step 6: Final answer
    x = 307,079.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.