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Finding the Third Proportional to 92,512 and 132,210

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Solution

The third proportional to 92,512 and 132,210 is: 188,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,512 : 132,210 = 132,210 : x
  2. Step 2: Convert to fraction form
    92,512/132,210 = 132,210/x
  3. Step 3: Cross multiply
    92,512x = 132,210 × 132,210
  4. Step 4: Simplify right side
    92,512x = 17,479,484,100
  5. Step 5: Solve for x
    x = 17,479,484,100/92,512
  6. Step 6: Final answer
    x = 188,942.88

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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.