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Finding the Third Proportional to 73,162 and 116,349

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Solution

The third proportional to 73,162 and 116,349 is: 185,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,162 : 116,349 = 116,349 : x
  2. Step 2: Convert to fraction form
    73,162/116,349 = 116,349/x
  3. Step 3: Cross multiply
    73,162x = 116,349 × 116,349
  4. Step 4: Simplify right side
    73,162x = 13,537,089,801
  5. Step 5: Solve for x
    x = 13,537,089,801/73,162
  6. Step 6: Final answer
    x = 185,028.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.