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Finding the Third Proportional to 47,267 and 103,120

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Solution

The third proportional to 47,267 and 103,120 is: 224,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,267 : 103,120 = 103,120 : x
  2. Step 2: Convert to fraction form
    47,267/103,120 = 103,120/x
  3. Step 3: Cross multiply
    47,267x = 103,120 × 103,120
  4. Step 4: Simplify right side
    47,267x = 10,633,734,400
  5. Step 5: Solve for x
    x = 10,633,734,400/47,267
  6. Step 6: Final answer
    x = 224,971.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.