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Finding the Third Proportional to 47,970 and 103,599

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Solution

The third proportional to 47,970 and 103,599 is: 223,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,970 : 103,599 = 103,599 : x
  2. Step 2: Convert to fraction form
    47,970/103,599 = 103,599/x
  3. Step 3: Cross multiply
    47,970x = 103,599 × 103,599
  4. Step 4: Simplify right side
    47,970x = 10,732,752,801
  5. Step 5: Solve for x
    x = 10,732,752,801/47,970
  6. Step 6: Final answer
    x = 223,738.85

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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.