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Finding the Third Proportional to 45,334.69 and 71,161.03

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Solution

The third proportional to 45,334.69 and 71,161.03 is: 111,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,334.69 : 71,161.03 = 71,161.03 : x
  2. Step 2: Convert to fraction form
    45,334.69/71,161.03 = 71,161.03/x
  3. Step 3: Cross multiply
    45,334.69x = 71,161.03 × 71,161.03
  4. Step 4: Simplify right side
    45,334.69x = 5,063,892,368.56
  5. Step 5: Solve for x
    x = 5,063,892,368.56/45,334.69
  6. Step 6: Final answer
    x = 111,700.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.