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Finding the Third Proportional to 122,970 and 166,899

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Solution

The third proportional to 122,970 and 166,899 is: 226,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,970 : 166,899 = 166,899 : x
  2. Step 2: Convert to fraction form
    122,970/166,899 = 166,899/x
  3. Step 3: Cross multiply
    122,970x = 166,899 × 166,899
  4. Step 4: Simplify right side
    122,970x = 27,855,276,201
  5. Step 5: Solve for x
    x = 27,855,276,201/122,970
  6. Step 6: Final answer
    x = 226,520.91

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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.