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Finding the Third Proportional to 43,235 and 92,928

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Solution

The third proportional to 43,235 and 92,928 is: 199,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,235 : 92,928 = 92,928 : x
  2. Step 2: Convert to fraction form
    43,235/92,928 = 92,928/x
  3. Step 3: Cross multiply
    43,235x = 92,928 × 92,928
  4. Step 4: Simplify right side
    43,235x = 8,635,613,184
  5. Step 5: Solve for x
    x = 8,635,613,184/43,235
  6. Step 6: Final answer
    x = 199,736.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.