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Finding the Third Proportional to 47,367 and 102,834

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Solution

The third proportional to 47,367 and 102,834 is: 223,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,367 : 102,834 = 102,834 : x
  2. Step 2: Convert to fraction form
    47,367/102,834 = 102,834/x
  3. Step 3: Cross multiply
    47,367x = 102,834 × 102,834
  4. Step 4: Simplify right side
    47,367x = 10,574,831,556
  5. Step 5: Solve for x
    x = 10,574,831,556/47,367
  6. Step 6: Final answer
    x = 223,253.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.