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Finding the Third Proportional to 43,497 and 83,538

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Solution

The third proportional to 43,497 and 83,538 is: 160,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,497 : 83,538 = 83,538 : x
  2. Step 2: Convert to fraction form
    43,497/83,538 = 83,538/x
  3. Step 3: Cross multiply
    43,497x = 83,538 × 83,538
  4. Step 4: Simplify right side
    43,497x = 6,978,597,444
  5. Step 5: Solve for x
    x = 6,978,597,444/43,497
  6. Step 6: Final answer
    x = 160,438.59

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.