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Finding the Third Proportional to 47,540 and 96,232

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Solution

The third proportional to 47,540 and 96,232 is: 194,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540 : 96,232 = 96,232 : x
  2. Step 2: Convert to fraction form
    47,540/96,232 = 96,232/x
  3. Step 3: Cross multiply
    47,540x = 96,232 × 96,232
  4. Step 4: Simplify right side
    47,540x = 9,260,597,824
  5. Step 5: Solve for x
    x = 9,260,597,824/47,540
  6. Step 6: Final answer
    x = 194,795.92

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.