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Finding the Third Proportional to 100,966 and 156,317

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Solution

The third proportional to 100,966 and 156,317 is: 242,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966 : 156,317 = 156,317 : x
  2. Step 2: Convert to fraction form
    100,966/156,317 = 156,317/x
  3. Step 3: Cross multiply
    100,966x = 156,317 × 156,317
  4. Step 4: Simplify right side
    100,966x = 24,435,004,489
  5. Step 5: Solve for x
    x = 24,435,004,489/100,966
  6. Step 6: Final answer
    x = 242,012.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.