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Finding the Third Proportional to 122,453 and 164,766

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Solution

The third proportional to 122,453 and 164,766 is: 221,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,453 : 164,766 = 164,766 : x
  2. Step 2: Convert to fraction form
    122,453/164,766 = 164,766/x
  3. Step 3: Cross multiply
    122,453x = 164,766 × 164,766
  4. Step 4: Simplify right side
    122,453x = 27,147,834,756
  5. Step 5: Solve for x
    x = 27,147,834,756/122,453
  6. Step 6: Final answer
    x = 221,700.04

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