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Finding the Third Proportional to 92,434 and 189,249

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Solution

The third proportional to 92,434 and 189,249 is: 387,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,434 : 189,249 = 189,249 : x
  2. Step 2: Convert to fraction form
    92,434/189,249 = 189,249/x
  3. Step 3: Cross multiply
    92,434x = 189,249 × 189,249
  4. Step 4: Simplify right side
    92,434x = 35,815,184,001
  5. Step 5: Solve for x
    x = 35,815,184,001/92,434
  6. Step 6: Final answer
    x = 387,467.64

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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.