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Finding the Third Proportional to 110,909 and 156,935

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Solution

The third proportional to 110,909 and 156,935 is: 222,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,909 : 156,935 = 156,935 : x
  2. Step 2: Convert to fraction form
    110,909/156,935 = 156,935/x
  3. Step 3: Cross multiply
    110,909x = 156,935 × 156,935
  4. Step 4: Simplify right side
    110,909x = 24,628,594,225
  5. Step 5: Solve for x
    x = 24,628,594,225/110,909
  6. Step 6: Final answer
    x = 222,061.28

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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.