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Finding the Third Proportional to 34,147 and 73,909

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Solution

The third proportional to 34,147 and 73,909 is: 159,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147 : 73,909 = 73,909 : x
  2. Step 2: Convert to fraction form
    34,147/73,909 = 73,909/x
  3. Step 3: Cross multiply
    34,147x = 73,909 × 73,909
  4. Step 4: Simplify right side
    34,147x = 5,462,540,281
  5. Step 5: Solve for x
    x = 5,462,540,281/34,147
  6. Step 6: Final answer
    x = 159,971.31

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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.