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Finding the Third Proportional to 122,494 and 166,242

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Solution

The third proportional to 122,494 and 166,242 is: 225,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,494 : 166,242 = 166,242 : x
  2. Step 2: Convert to fraction form
    122,494/166,242 = 166,242/x
  3. Step 3: Cross multiply
    122,494x = 166,242 × 166,242
  4. Step 4: Simplify right side
    122,494x = 27,636,402,564
  5. Step 5: Solve for x
    x = 27,636,402,564/122,494
  6. Step 6: Final answer
    x = 225,614.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.