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Finding the Third Proportional to 122,604 and 164,760.75

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Solution

The third proportional to 122,604 and 164,760.75 is: 221,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,604 : 164,760.75 = 164,760.75 : x
  2. Step 2: Convert to fraction form
    122,604/164,760.75 = 164,760.75/x
  3. Step 3: Cross multiply
    122,604x = 164,760.75 × 164,760.75
  4. Step 4: Simplify right side
    122,604x = 27,146,104,740.56
  5. Step 5: Solve for x
    x = 27,146,104,740.56/122,604
  6. Step 6: Final answer
    x = 221,412.88

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.