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Finding the Third Proportional to 122,509.34 and 185,610.71

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Solution

The third proportional to 122,509.34 and 185,610.71 is: 281,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,509.34 : 185,610.71 = 185,610.71 : x
  2. Step 2: Convert to fraction form
    122,509.34/185,610.71 = 185,610.71/x
  3. Step 3: Cross multiply
    122,509.34x = 185,610.71 × 185,610.71
  4. Step 4: Simplify right side
    122,509.34x = 34,451,335,289.68
  5. Step 5: Solve for x
    x = 34,451,335,289.68/122,509.34
  6. Step 6: Final answer
    x = 281,213.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.