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Finding the Third Proportional to 47,402 and 102,394

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Solution

The third proportional to 47,402 and 102,394 is: 221,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,402 : 102,394 = 102,394 : x
  2. Step 2: Convert to fraction form
    47,402/102,394 = 102,394/x
  3. Step 3: Cross multiply
    47,402x = 102,394 × 102,394
  4. Step 4: Simplify right side
    47,402x = 10,484,531,236
  5. Step 5: Solve for x
    x = 10,484,531,236/47,402
  6. Step 6: Final answer
    x = 221,183.31

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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.