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Finding the Third Proportional to 81,629.96 and 126,084.73

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Solution

The third proportional to 81,629.96 and 126,084.73 is: 194,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,629.96 : 126,084.73 = 126,084.73 : x
  2. Step 2: Convert to fraction form
    81,629.96/126,084.73 = 126,084.73/x
  3. Step 3: Cross multiply
    81,629.96x = 126,084.73 × 126,084.73
  4. Step 4: Simplify right side
    81,629.96x = 15,897,358,272.34
  5. Step 5: Solve for x
    x = 15,897,358,272.34/81,629.96
  6. Step 6: Final answer
    x = 194,749.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.