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Finding the Third Proportional to 47,406 and 102,414

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Solution

The third proportional to 47,406 and 102,414 is: 221,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406 : 102,414 = 102,414 : x
  2. Step 2: Convert to fraction form
    47,406/102,414 = 102,414/x
  3. Step 3: Cross multiply
    47,406x = 102,414 × 102,414
  4. Step 4: Simplify right side
    47,406x = 10,488,627,396
  5. Step 5: Solve for x
    x = 10,488,627,396/47,406
  6. Step 6: Final answer
    x = 221,251.05

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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.