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Finding the Third Proportional to 100,616 and 151,176

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Solution

The third proportional to 100,616 and 151,176 is: 227,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616 : 151,176 = 151,176 : x
  2. Step 2: Convert to fraction form
    100,616/151,176 = 151,176/x
  3. Step 3: Cross multiply
    100,616x = 151,176 × 151,176
  4. Step 4: Simplify right side
    100,616x = 22,854,182,976
  5. Step 5: Solve for x
    x = 22,854,182,976/100,616
  6. Step 6: Final answer
    x = 227,142.63

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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.