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Finding the Third Proportional to 100,622 and 151,185

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Solution

The third proportional to 100,622 and 151,185 is: 227,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,622 : 151,185 = 151,185 : x
  2. Step 2: Convert to fraction form
    100,622/151,185 = 151,185/x
  3. Step 3: Cross multiply
    100,622x = 151,185 × 151,185
  4. Step 4: Simplify right side
    100,622x = 22,856,904,225
  5. Step 5: Solve for x
    x = 22,856,904,225/100,622
  6. Step 6: Final answer
    x = 227,156.13

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Why These Related Problems?

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