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Finding the Third Proportional to 43,168 and 92,329

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Solution

The third proportional to 43,168 and 92,329 is: 197,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,168 : 92,329 = 92,329 : x
  2. Step 2: Convert to fraction form
    43,168/92,329 = 92,329/x
  3. Step 3: Cross multiply
    43,168x = 92,329 × 92,329
  4. Step 4: Simplify right side
    43,168x = 8,524,644,241
  5. Step 5: Solve for x
    x = 8,524,644,241/43,168
  6. Step 6: Final answer
    x = 197,476.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.