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Finding the Third Proportional to 47,460 and 104,394

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Solution

The third proportional to 47,460 and 104,394 is: 229,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,460 : 104,394 = 104,394 : x
  2. Step 2: Convert to fraction form
    47,460/104,394 = 104,394/x
  3. Step 3: Cross multiply
    47,460x = 104,394 × 104,394
  4. Step 4: Simplify right side
    47,460x = 10,898,107,236
  5. Step 5: Solve for x
    x = 10,898,107,236/47,460
  6. Step 6: Final answer
    x = 229,627.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.