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Finding the Third Proportional to 90,872 and 186,277

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Solution

The third proportional to 90,872 and 186,277 is: 381,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,872 : 186,277 = 186,277 : x
  2. Step 2: Convert to fraction form
    90,872/186,277 = 186,277/x
  3. Step 3: Cross multiply
    90,872x = 186,277 × 186,277
  4. Step 4: Simplify right side
    90,872x = 34,699,120,729
  5. Step 5: Solve for x
    x = 34,699,120,729/90,872
  6. Step 6: Final answer
    x = 381,846.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.