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Finding the Third Proportional to 47,200 and 101,394

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Solution

The third proportional to 47,200 and 101,394 is: 217,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200 : 101,394 = 101,394 : x
  2. Step 2: Convert to fraction form
    47,200/101,394 = 101,394/x
  3. Step 3: Cross multiply
    47,200x = 101,394 × 101,394
  4. Step 4: Simplify right side
    47,200x = 10,280,743,236
  5. Step 5: Solve for x
    x = 10,280,743,236/47,200
  6. Step 6: Final answer
    x = 217,812.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.