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Finding the Third Proportional to 110,931 and 156,963

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Solution

The third proportional to 110,931 and 156,963 is: 222,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,931 : 156,963 = 156,963 : x
  2. Step 2: Convert to fraction form
    110,931/156,963 = 156,963/x
  3. Step 3: Cross multiply
    110,931x = 156,963 × 156,963
  4. Step 4: Simplify right side
    110,931x = 24,637,383,369
  5. Step 5: Solve for x
    x = 24,637,383,369/110,931
  6. Step 6: Final answer
    x = 222,096.47

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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.