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Finding the Third Proportional to 110,929 and 156,965

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Solution

The third proportional to 110,929 and 156,965 is: 222,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,929 : 156,965 = 156,965 : x
  2. Step 2: Convert to fraction form
    110,929/156,965 = 156,965/x
  3. Step 3: Cross multiply
    110,929x = 156,965 × 156,965
  4. Step 4: Simplify right side
    110,929x = 24,638,011,225
  5. Step 5: Solve for x
    x = 24,638,011,225/110,929
  6. Step 6: Final answer
    x = 222,106.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.