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Finding the Third Proportional to 40,092 and 85,551

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Solution

The third proportional to 40,092 and 85,551 is: 182,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,092 : 85,551 = 85,551 : x
  2. Step 2: Convert to fraction form
    40,092/85,551 = 85,551/x
  3. Step 3: Cross multiply
    40,092x = 85,551 × 85,551
  4. Step 4: Simplify right side
    40,092x = 7,318,973,601
  5. Step 5: Solve for x
    x = 7,318,973,601/40,092
  6. Step 6: Final answer
    x = 182,554.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.