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Finding the Third Proportional to 45,214.88 and 71,651.25

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Solution

The third proportional to 45,214.88 and 71,651.25 is: 113,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,214.88 : 71,651.25 = 71,651.25 : x
  2. Step 2: Convert to fraction form
    45,214.88/71,651.25 = 71,651.25/x
  3. Step 3: Cross multiply
    45,214.88x = 71,651.25 × 71,651.25
  4. Step 4: Simplify right side
    45,214.88x = 5,133,901,626.56
  5. Step 5: Solve for x
    x = 5,133,901,626.56/45,214.88
  6. Step 6: Final answer
    x = 113,544.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.