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Finding the Third Proportional to 110,906 and 156,930

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Solution

The third proportional to 110,906 and 156,930 is: 222,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,906 : 156,930 = 156,930 : x
  2. Step 2: Convert to fraction form
    110,906/156,930 = 156,930/x
  3. Step 3: Cross multiply
    110,906x = 156,930 × 156,930
  4. Step 4: Simplify right side
    110,906x = 24,627,024,900
  5. Step 5: Solve for x
    x = 24,627,024,900/110,906
  6. Step 6: Final answer
    x = 222,053.13

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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.