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Finding the Third Proportional to 43,206 and 91,548

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Solution

The third proportional to 43,206 and 91,548 is: 193,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 91,548 = 91,548 : x
  2. Step 2: Convert to fraction form
    43,206/91,548 = 91,548/x
  3. Step 3: Cross multiply
    43,206x = 91,548 × 91,548
  4. Step 4: Simplify right side
    43,206x = 8,381,036,304
  5. Step 5: Solve for x
    x = 8,381,036,304/43,206
  6. Step 6: Final answer
    x = 193,978.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.