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Finding the Third Proportional to 47,263 and 102,285

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Solution

The third proportional to 47,263 and 102,285 is: 221,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,263 : 102,285 = 102,285 : x
  2. Step 2: Convert to fraction form
    47,263/102,285 = 102,285/x
  3. Step 3: Cross multiply
    47,263x = 102,285 × 102,285
  4. Step 4: Simplify right side
    47,263x = 10,462,221,225
  5. Step 5: Solve for x
    x = 10,462,221,225/47,263
  6. Step 6: Final answer
    x = 221,361.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.