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Finding the Third Proportional to 110,930 and 156,962

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Solution

The third proportional to 110,930 and 156,962 is: 222,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,930 : 156,962 = 156,962 : x
  2. Step 2: Convert to fraction form
    110,930/156,962 = 156,962/x
  3. Step 3: Cross multiply
    110,930x = 156,962 × 156,962
  4. Step 4: Simplify right side
    110,930x = 24,637,069,444
  5. Step 5: Solve for x
    x = 24,637,069,444/110,930
  6. Step 6: Final answer
    x = 222,095.64

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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.