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Finding the Third Proportional to 71,615.81 and 149,112.56

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Solution

The third proportional to 71,615.81 and 149,112.56 is: 310,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,615.81 : 149,112.56 = 149,112.56 : x
  2. Step 2: Convert to fraction form
    71,615.81/149,112.56 = 149,112.56/x
  3. Step 3: Cross multiply
    71,615.81x = 149,112.56 × 149,112.56
  4. Step 4: Simplify right side
    71,615.81x = 22,234,556,295.32
  5. Step 5: Solve for x
    x = 22,234,556,295.32/71,615.81
  6. Step 6: Final answer
    x = 310,469.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.