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Finding the Third Proportional to 122,918 and 166,073

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Solution

The third proportional to 122,918 and 166,073 is: 224,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,918 : 166,073 = 166,073 : x
  2. Step 2: Convert to fraction form
    122,918/166,073 = 166,073/x
  3. Step 3: Cross multiply
    122,918x = 166,073 × 166,073
  4. Step 4: Simplify right side
    122,918x = 27,580,241,329
  5. Step 5: Solve for x
    x = 27,580,241,329/122,918
  6. Step 6: Final answer
    x = 224,379.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.