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Finding the Third Proportional to 73,326 and 111,402

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Solution

The third proportional to 73,326 and 111,402 is: 169,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,326 : 111,402 = 111,402 : x
  2. Step 2: Convert to fraction form
    73,326/111,402 = 111,402/x
  3. Step 3: Cross multiply
    73,326x = 111,402 × 111,402
  4. Step 4: Simplify right side
    73,326x = 12,410,405,604
  5. Step 5: Solve for x
    x = 12,410,405,604/73,326
  6. Step 6: Final answer
    x = 169,249.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.