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Finding the Third Proportional to 92,424 and 132,171

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Solution

The third proportional to 92,424 and 132,171 is: 189,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,424 : 132,171 = 132,171 : x
  2. Step 2: Convert to fraction form
    92,424/132,171 = 132,171/x
  3. Step 3: Cross multiply
    92,424x = 132,171 × 132,171
  4. Step 4: Simplify right side
    92,424x = 17,469,173,241
  5. Step 5: Solve for x
    x = 17,469,173,241/92,424
  6. Step 6: Final answer
    x = 189,011.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.