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Finding the Third Proportional to 39,105 and 84,411

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Solution

The third proportional to 39,105 and 84,411 is: 182,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105 : 84,411 = 84,411 : x
  2. Step 2: Convert to fraction form
    39,105/84,411 = 84,411/x
  3. Step 3: Cross multiply
    39,105x = 84,411 × 84,411
  4. Step 4: Simplify right side
    39,105x = 7,125,216,921
  5. Step 5: Solve for x
    x = 7,125,216,921/39,105
  6. Step 6: Final answer
    x = 182,207.31

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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.