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Finding the Third Proportional to 62,124 and 82,769

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Solution

The third proportional to 62,124 and 82,769 is: 110,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,124 : 82,769 = 82,769 : x
  2. Step 2: Convert to fraction form
    62,124/82,769 = 82,769/x
  3. Step 3: Cross multiply
    62,124x = 82,769 × 82,769
  4. Step 4: Simplify right side
    62,124x = 6,850,707,361
  5. Step 5: Solve for x
    x = 6,850,707,361/62,124
  6. Step 6: Final answer
    x = 110,274.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.