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Finding the Third Proportional to 41,669 and 84,886

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Solution

The third proportional to 41,669 and 84,886 is: 172,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669 : 84,886 = 84,886 : x
  2. Step 2: Convert to fraction form
    41,669/84,886 = 84,886/x
  3. Step 3: Cross multiply
    41,669x = 84,886 × 84,886
  4. Step 4: Simplify right side
    41,669x = 7,205,632,996
  5. Step 5: Solve for x
    x = 7,205,632,996/41,669
  6. Step 6: Final answer
    x = 172,925.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.