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Finding the Third Proportional to 47,406 and 69,159

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Solution

The third proportional to 47,406 and 69,159 is: 100,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406 : 69,159 = 69,159 : x
  2. Step 2: Convert to fraction form
    47,406/69,159 = 69,159/x
  3. Step 3: Cross multiply
    47,406x = 69,159 × 69,159
  4. Step 4: Simplify right side
    47,406x = 4,782,967,281
  5. Step 5: Solve for x
    x = 4,782,967,281/47,406
  6. Step 6: Final answer
    x = 100,893.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.