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Finding the Third Proportional to 41,669 and 91,251

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Solution

The third proportional to 41,669 and 91,251 is: 199,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669 : 91,251 = 91,251 : x
  2. Step 2: Convert to fraction form
    41,669/91,251 = 91,251/x
  3. Step 3: Cross multiply
    41,669x = 91,251 × 91,251
  4. Step 4: Simplify right side
    41,669x = 8,326,745,001
  5. Step 5: Solve for x
    x = 8,326,745,001/41,669
  6. Step 6: Final answer
    x = 199,830.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.