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Finding the Third Proportional to 100,860 and 156,165

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Solution

The third proportional to 100,860 and 156,165 is: 241,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,860 : 156,165 = 156,165 : x
  2. Step 2: Convert to fraction form
    100,860/156,165 = 156,165/x
  3. Step 3: Cross multiply
    100,860x = 156,165 × 156,165
  4. Step 4: Simplify right side
    100,860x = 24,387,507,225
  5. Step 5: Solve for x
    x = 24,387,507,225/100,860
  6. Step 6: Final answer
    x = 241,795.63

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