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Finding the Third Proportional to 39,326 and 84,214

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Solution

The third proportional to 39,326 and 84,214 is: 180,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,326 : 84,214 = 84,214 : x
  2. Step 2: Convert to fraction form
    39,326/84,214 = 84,214/x
  3. Step 3: Cross multiply
    39,326x = 84,214 × 84,214
  4. Step 4: Simplify right side
    39,326x = 7,091,997,796
  5. Step 5: Solve for x
    x = 7,091,997,796/39,326
  6. Step 6: Final answer
    x = 180,338.65

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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.