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Finding the Third Proportional to 45,354 and 96,096

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Solution

The third proportional to 45,354 and 96,096 is: 203,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,354 : 96,096 = 96,096 : x
  2. Step 2: Convert to fraction form
    45,354/96,096 = 96,096/x
  3. Step 3: Cross multiply
    45,354x = 96,096 × 96,096
  4. Step 4: Simplify right side
    45,354x = 9,234,441,216
  5. Step 5: Solve for x
    x = 9,234,441,216/45,354
  6. Step 6: Final answer
    x = 203,608.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.