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Finding the Third Proportional to 100,992 and 156,591

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Solution

The third proportional to 100,992 and 156,591 is: 242,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,992 : 156,591 = 156,591 : x
  2. Step 2: Convert to fraction form
    100,992/156,591 = 156,591/x
  3. Step 3: Cross multiply
    100,992x = 156,591 × 156,591
  4. Step 4: Simplify right side
    100,992x = 24,520,741,281
  5. Step 5: Solve for x
    x = 24,520,741,281/100,992
  6. Step 6: Final answer
    x = 242,798.85

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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.