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Finding the Third Proportional to 47,421 and 102,231

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Solution

The third proportional to 47,421 and 102,231 is: 220,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,421 : 102,231 = 102,231 : x
  2. Step 2: Convert to fraction form
    47,421/102,231 = 102,231/x
  3. Step 3: Cross multiply
    47,421x = 102,231 × 102,231
  4. Step 4: Simplify right side
    47,421x = 10,451,177,361
  5. Step 5: Solve for x
    x = 10,451,177,361/47,421
  6. Step 6: Final answer
    x = 220,391.33

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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.