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Finding the Third Proportional to 122,559 and 167,085.75

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Solution

The third proportional to 122,559 and 167,085.75 is: 227,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,559 : 167,085.75 = 167,085.75 : x
  2. Step 2: Convert to fraction form
    122,559/167,085.75 = 167,085.75/x
  3. Step 3: Cross multiply
    122,559x = 167,085.75 × 167,085.75
  4. Step 4: Simplify right side
    122,559x = 27,917,647,853.06
  5. Step 5: Solve for x
    x = 27,917,647,853.06/122,559
  6. Step 6: Final answer
    x = 227,789.46

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