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Finding the Third Proportional to 47,169 and 100,800

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Solution

The third proportional to 47,169 and 100,800 is: 215,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169 : 100,800 = 100,800 : x
  2. Step 2: Convert to fraction form
    47,169/100,800 = 100,800/x
  3. Step 3: Cross multiply
    47,169x = 100,800 × 100,800
  4. Step 4: Simplify right side
    47,169x = 10,160,640,000
  5. Step 5: Solve for x
    x = 10,160,640,000/47,169
  6. Step 6: Final answer
    x = 215,409.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.