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Finding the Third Proportional to 81,597.38 and 126,101.81

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Solution

The third proportional to 81,597.38 and 126,101.81 is: 194,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,597.38 : 126,101.81 = 126,101.81 : x
  2. Step 2: Convert to fraction form
    81,597.38/126,101.81 = 126,101.81/x
  3. Step 3: Cross multiply
    81,597.38x = 126,101.81 × 126,101.81
  4. Step 4: Simplify right side
    81,597.38x = 15,901,667,115.79
  5. Step 5: Solve for x
    x = 15,901,667,115.79/81,597.38
  6. Step 6: Final answer
    x = 194,879.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.