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Finding the Third Proportional to 100,965 and 156,775

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Solution

The third proportional to 100,965 and 156,775 is: 243,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965 : 156,775 = 156,775 : x
  2. Step 2: Convert to fraction form
    100,965/156,775 = 156,775/x
  3. Step 3: Cross multiply
    100,965x = 156,775 × 156,775
  4. Step 4: Simplify right side
    100,965x = 24,578,400,625
  5. Step 5: Solve for x
    x = 24,578,400,625/100,965
  6. Step 6: Final answer
    x = 243,434.86

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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.