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Finding the Third Proportional to 69,384 and 92,242

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Solution

The third proportional to 69,384 and 92,242 is: 122,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,384 : 92,242 = 92,242 : x
  2. Step 2: Convert to fraction form
    69,384/92,242 = 92,242/x
  3. Step 3: Cross multiply
    69,384x = 92,242 × 92,242
  4. Step 4: Simplify right side
    69,384x = 8,508,586,564
  5. Step 5: Solve for x
    x = 8,508,586,564/69,384
  6. Step 6: Final answer
    x = 122,630.38

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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.