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Finding the Third Proportional to 81,435.38 and 122,751.07

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Solution

The third proportional to 81,435.38 and 122,751.07 is: 185,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,435.38 : 122,751.07 = 122,751.07 : x
  2. Step 2: Convert to fraction form
    81,435.38/122,751.07 = 122,751.07/x
  3. Step 3: Cross multiply
    81,435.38x = 122,751.07 × 122,751.07
  4. Step 4: Simplify right side
    81,435.38x = 15,067,825,262.86
  5. Step 5: Solve for x
    x = 15,067,825,262.86/81,435.38
  6. Step 6: Final answer
    x = 185,028.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.