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Finding the Third Proportional to 40,326 and 92,559

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Solution

The third proportional to 40,326 and 92,559 is: 212,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,326 : 92,559 = 92,559 : x
  2. Step 2: Convert to fraction form
    40,326/92,559 = 92,559/x
  3. Step 3: Cross multiply
    40,326x = 92,559 × 92,559
  4. Step 4: Simplify right side
    40,326x = 8,567,168,481
  5. Step 5: Solve for x
    x = 8,567,168,481/40,326
  6. Step 6: Final answer
    x = 212,447.76

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.