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Finding the Third Proportional to 101,609 and 156,717

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Solution

The third proportional to 101,609 and 156,717 is: 241,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,609 : 156,717 = 156,717 : x
  2. Step 2: Convert to fraction form
    101,609/156,717 = 156,717/x
  3. Step 3: Cross multiply
    101,609x = 156,717 × 156,717
  4. Step 4: Simplify right side
    101,609x = 24,560,218,089
  5. Step 5: Solve for x
    x = 24,560,218,089/101,609
  6. Step 6: Final answer
    x = 241,713.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.