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Finding the Third Proportional to 92,024 and 189,928

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Solution

The third proportional to 92,024 and 189,928 is: 391,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,024 : 189,928 = 189,928 : x
  2. Step 2: Convert to fraction form
    92,024/189,928 = 189,928/x
  3. Step 3: Cross multiply
    92,024x = 189,928 × 189,928
  4. Step 4: Simplify right side
    92,024x = 36,072,645,184
  5. Step 5: Solve for x
    x = 36,072,645,184/92,024
  6. Step 6: Final answer
    x = 391,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.