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Finding the Third Proportional to 100,620 and 151,182

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Solution

The third proportional to 100,620 and 151,182 is: 227,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620 : 151,182 = 151,182 : x
  2. Step 2: Convert to fraction form
    100,620/151,182 = 151,182/x
  3. Step 3: Cross multiply
    100,620x = 151,182 × 151,182
  4. Step 4: Simplify right side
    100,620x = 22,855,997,124
  5. Step 5: Solve for x
    x = 22,855,997,124/100,620
  6. Step 6: Final answer
    x = 227,151.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.