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Finding the Third Proportional to 47,921 and 73,556

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Solution

The third proportional to 47,921 and 73,556 is: 112,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921 : 73,556 = 73,556 : x
  2. Step 2: Convert to fraction form
    47,921/73,556 = 73,556/x
  3. Step 3: Cross multiply
    47,921x = 73,556 × 73,556
  4. Step 4: Simplify right side
    47,921x = 5,410,485,136
  5. Step 5: Solve for x
    x = 5,410,485,136/47,921
  6. Step 6: Final answer
    x = 112,904.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.