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Finding the Third Proportional to 39,166 and 84,447

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Solution

The third proportional to 39,166 and 84,447 is: 182,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,166 : 84,447 = 84,447 : x
  2. Step 2: Convert to fraction form
    39,166/84,447 = 84,447/x
  3. Step 3: Cross multiply
    39,166x = 84,447 × 84,447
  4. Step 4: Simplify right side
    39,166x = 7,131,295,809
  5. Step 5: Solve for x
    x = 7,131,295,809/39,166
  6. Step 6: Final answer
    x = 182,078.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.