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Finding the Third Proportional to 47,069 and 100,960

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Solution

The third proportional to 47,069 and 100,960 is: 216,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069 : 100,960 = 100,960 : x
  2. Step 2: Convert to fraction form
    47,069/100,960 = 100,960/x
  3. Step 3: Cross multiply
    47,069x = 100,960 × 100,960
  4. Step 4: Simplify right side
    47,069x = 10,192,921,600
  5. Step 5: Solve for x
    x = 10,192,921,600/47,069
  6. Step 6: Final answer
    x = 216,552.75

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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.