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Finding the Third Proportional to 93,912 and 132,084

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Solution

The third proportional to 93,912 and 132,084 is: 185,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,912 : 132,084 = 132,084 : x
  2. Step 2: Convert to fraction form
    93,912/132,084 = 132,084/x
  3. Step 3: Cross multiply
    93,912x = 132,084 × 132,084
  4. Step 4: Simplify right side
    93,912x = 17,446,183,056
  5. Step 5: Solve for x
    x = 17,446,183,056/93,912
  6. Step 6: Final answer
    x = 185,771.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.