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Finding the Third Proportional to 110,717 and 156,019

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Solution

The third proportional to 110,717 and 156,019 is: 219,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,717 : 156,019 = 156,019 : x
  2. Step 2: Convert to fraction form
    110,717/156,019 = 156,019/x
  3. Step 3: Cross multiply
    110,717x = 156,019 × 156,019
  4. Step 4: Simplify right side
    110,717x = 24,341,928,361
  5. Step 5: Solve for x
    x = 24,341,928,361/110,717
  6. Step 6: Final answer
    x = 219,857.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.